Primitive abundant number: Difference between revisions

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In mathematics, specifically group theory, isoclinism is an equivalence relation on groups which generalizes isomorphism. The concept of isoclinism was introduced by Template:Harvtxt to help classify and understand p-groups, although applicable to all groups. Isoclinism remains an important part of the study of p-groups, and for instance §29 of Template:Harvtxt and §21.2 of Template:Harvtxt are devoted to it. Isoclinism also has vital consequences for the Schur multiplier and the associated aspects of character theory, as described in Template:Harvtxt and Template:Harvtxt.

Definition

According to Template:Harvtxt, two groups G₁ and G₂ are isoclinic if the following three conditions hold:

$G_{1} / Z_{1}$ is isomorphic to $G_{2} / Z_{2}$ , where $Z_{1}$ is the center of $G_{1}$ and $Z_{2}$ is the center of $G_{2}$ .
The commutator subgroup of $G_{1}$ is isomorphic to the commutator subgroup of $G_{2}$ .
"The isomorphisms of (1) and (2) can be selected in such a way that whenever $a_{1} Z_{1}$ and $b_{1} Z_{1}$ correspond respectively to $a_{2} Z_{2}$ and $b_{2} Z_{2}$ under (1), then $a_{1} b_{1} a_{1}^{- 1} b_{1}^{- 1}$ corresponds to $a_{2} b_{2} a_{2}^{- 1} b_{2}^{- 1}$ under (2)."

Examples

All Abelian groups are isoclinic since they are equal to their centers and their commutator subgroups are always the identity subgroup. Indeed, a group is isoclinic to an abelian group if and only if it is itself abelian, and G is isoclinic with G×A if and only if A is abelian. The dihedral, quasidihedral, and quaternion groups of order 2ⁿ are isoclinic for n≥3, Template:Harvtxt.

Isoclinism divides p-groups into families, and the smallest members of each family are called stem groups. A group is a stem group if and only if Z(G) ≤ [G,G], that is, if and only if every element of the center of the group is contained in the derived subgroup (also called the commutator subgroup), Template:Harvtxt. Some enumeration results on isoclinism families are given in Template:Harvtxt.

Another textbook treatment of isoclinism is given in Template:Harvtxt, which describes in more detail the isomorphisms induced by an isoclinism. Isoclinism is important in theory of projective representations of finite groups, as all Schur covering groups of a group are isoclinic, a fact already hinted at by Hall according to Template:Harvtxt. This is important in describing the character tables of the finite simple groups, and so is described in some detail in Template:Harvtxt.

References

Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

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-kochrezepte kostenlos [http://www.blogster.com/cogibooi1 http://www.blogster.com/cogibooi1]. Lecker Essen zubereiten mit geringerem Fettanteil<br><br>Im heutigen Beitrag erfahren Sie, wie Sie beim Essen machen viele Kalorien einsparen können. Wahrscheinlich sind Sie ein Feinschmecker und schätzen leckeres Essen. Sorgen Sie ruhig dafür, dass hin und wieder auch einmal fettarme Mahlzeiten auf dem Teller landen.<br><br>Kartoffeln haben einen schlechten Ruf als Dickmacher. Im Vergleich zu Pasta oder Reis stimmt dies aber in keinster Weise. Es ist nicht immer nötig Fett beim Essen machen zu benutzen. Schalotten können Sie ebenfalls in ein wenig Wasser glasig schmoren und für die meisten anderen Gemüse wie Karotte, Aubergine und Zucchini gilt das auch.<br><br>Kreieren Sie ein möglichst exotisches Salatdressing mit vielen Bestandteilen wie beispielsweise Mostrich, Zwiebeln etc. Bedauerlicherweise beinhalten viele Gerichte erhebliche Mengen Fett. Da der Verzehr von viel Salz die Einlagerung von Wasser im Körper begünstigt, sollten Sie Ihr Essen lieber mit alternativen Gewürzen verfeinern.<br><br>Das Aroma muss darunter in keiner Weise leiden, es gibt unzählige Möglichkeiten Kalorien ohne Geschmacksverlust einzusparen. Im Gegensatz zu Spagetti oder Reis haben sie eindeutig weniger Kalorien. Sie benötigen so weniger Pflanzenöl, um einen unverwechselbaren Geschmack zu erhalten. Insbesondere Zitrone und Zimt machen sich im Essen gut, probieren Sie also ruhig einmal ein paar exotische Zusammensetzungen aus.<br><br>Brühen und Soßen sollte man dann möglicherweise ein wenig einkochen lassen. Sehr viel Fett kann gespart werden, wenn anstatt Schmand beim Essen machen saure Sahne verwendet wird. Ihre Mahlzeiten können Sie ganz mühelos mit unzähligen ausgefallenen Gewürzen abschmecken. Es muss keineswegs immer Sahne sein: Um sahnige Soßen zu kreieren oder eine Brühe zu verfeinern, geht auch Milch.<br><br>Machen Sie jederzeit eine große Schale Salat, an welcher Sie sich bereits  satt essen, ehe es zum Hauptgericht geht. Eine Alternative zu Nudeln erhalten Sie, wenn Sie Mohrrüben und Zucchini in dünne Streifen schneiden. Nachdem sie kurz gekocht wurden wurden, können sie prima als Ersatz für Nudeln mit Pastasoße verzehrt werden. Viele Genussmenschen ziehen diese Spielart sogar dem Original vor.<br><br>Diese Alternative muss keinesfalls schlecht sein. Bei der Erzeugung einer Pfanne mit Gemüse und Geschnetzeltem einfach einen Teil des Fleisches mit Tofu tauschen. Rahmkäse eignet sich etwa zum Veredeln von Risottosowie als Brotbelag ebenfalls gut und hat hierbei einen kleineren Fettgehalt.<br><br>Schmeckt bombig, ist kalorien- sowie fettarm und beinhaltet reichlich wichtiges Eiweiß. Eine kleinere Sünde darf gerne auf dem [http://Www.dict.cc/?s=Speiseplan Speiseplan] vorkommen, sofern ein Hauptteil der Gerichte gesund gestaltet wird. Bei aller Reduktion und Sparsamkeit in Bezug auf Fett und Kalorien gilt immer: Verlieren Sie nicht den Spaß am Essen. Dadurch können Sie den Salzverbrauch stark reduzieren.<br><br>Falls Sie meinen Beitrag mit weiteren Tipps oder Rezepten ausbauen möchten, hinterlassen Sie bitte einen Kommentar oder schicken Sie mir eine Nachricht. Es muss keinesfalls immer besonders fetthaltige Butter sein.
+In mathematics, specifically [[group theory]], '''isoclinism''' is an [[equivalence relation]] on [[group (mathematics)|groups]] which generalizes [[isomorphism]]. The concept of isoclinism was introduced by {{harvtxt|Hall|1940}} to help classify and understand [[p-group]]s, although applicable to all groups. Isoclinism remains an important part of the study of p-groups, and for instance §29 of {{harvtxt|Berkovich|2008}} and §21.2 of {{harvtxt|Blackburn|Neumann|Venkataraman|2007}} are devoted to it.  Isoclinism also has vital consequences<!--ATLAS p. xxiii, §6.7¶3--> for the [[Schur multiplier]] and the associated aspects of [[character theory]], as described in {{harvtxt|Suzuki|1982|p=256}} and {{harvtxt|Conway|Curtis|Norton|Parker|1985|p=xxiii|loc=Ch. 6.7}}.
+==Definition==
+According to {{harvtxt|Struik|1960}}, two groups G<sub>1</sub> and G<sub>2</sub> are isoclinic if the following three conditions hold:
+# <math>G_1/Z_1</math> is isomorphic to <math>G_2/Z_2</math>, where <math>Z_1</math> is the [[center (group theory)|center]] of <math>G_1</math> and <math>Z_2</math> is the center of <math>G_2</math>.
+# The [[commutator subgroup]] of <math>G_1</math> is isomorphic to the commutator subgroup of <math>G_2</math>.
+# "The isomorphisms of (1) and (2) can be selected in such a way that whenever <math>a_1Z_1</math> and <math>b_1Z_1</math> correspond respectively to <math>a_2Z_2</math> and <math>b_2Z_2</math> under (1), then <math>a_1b_1a_1^{-1}b_1^{-1}</math> corresponds to <math>a_2b_2a_2^{-1}b_2^{-1}</math> under (2)."
+==Examples==
+All [[Abelian group]]s are isoclinic since they are equal to their centers and their commutator subgroups are always the identity subgroup.  Indeed, a group is isoclinic to an abelian group if and only if it is itself abelian, and ''G'' is isoclinic with ''G''×''A'' if and only if ''A'' is abelian.  The [[dihedral group|dihedral]], [[quasidihedral group|quasidihedral]], and [[quaternion group]]s of order 2<sup>''n''</sup> are isoclinic for ''n''≥3, {{harvtxt|Berkovich|2008|p=285}}.
+Isoclinism divides ''p''-groups into families, and the smallest members of each family are called '''stem groups'''.  A group is a stem group if and only if Z(''G'') ≤ [''G'',''G''], that is, if and only if every element of the center of the group is contained in the [[derived subgroup]] (also called the commutator subgroup), {{harvtxt|Berkovich|2008|p=287}}.  Some enumeration results on isoclinism families are given in {{harvtxt|Blackburn|Neumann|Venkataraman|2007|p=226}}.
+Another textbook treatment of isoclinism is given in {{harvtxt|Suzuki|1986|pp=92–95}}, which describes in more detail the isomorphisms induced by an isoclinism.  Isoclinism is important in theory of [[projective representation]]s of [[finite group]]s, as all [[Schur cover]]ing groups of a group are isoclinic, a fact already hinted at by Hall according to {{harvtxt|Suzuki|1982|p=256}}.  This is important in describing the character tables of the [[finite simple group]]s, and so is described in some detail in {{harvtxt|Conway|Curtis|Norton|Parker|1985|p=xxiii|loc=Ch. 6.7}}.
+== References ==
+* {{Citation | last1=Berkovich | first1=Yakov | title=Groups of prime power order. Vol. 1 | publisher=Walter de Gruyter GmbH & Co. KG, Berlin | series=de Gruyter Expositions in Mathematics | isbn=978-3-11-020418-6 | doi=10.1515/9783110208221.285 | id={{MathSciNet | id = 2464640}} | year=2008 | volume=46}}
+*{{Citation | last1=Blackburn | first1=Simon R. | last2=Neumann | first2=Peter M. | author2-link=Peter M. Neumann | last3=Venkataraman | first3=Geetha | title=Enumeration of finite groups | publisher=[[Cambridge University Press]] | edition=1st | series=Cambridge Tracts in Mathematics no 173 | isbn=978-0-521-88217-0 | oclc=154682311 | year=2007}}
+* {{Citation | last1=Conway | first1=John Horton | author1-link=John Horton Conway | last2=Curtis | first2=R. T. | last3=Norton | first3=S. P. | last4=Parker | first4=R. A. | last5=Wilson | first5=R. A. | title=Atlas of finite groups | publisher=[[Oxford University Press]] | isbn=978-0-19-853199-9 | id={{MathSciNet | id = 827219}} | year=1985}}
+*{{Citation | last1=Hall | first1=Philip | author1-link=Philip Hall | title=The classification of prime-power groups | doi=10.1515/crll.1940.182.130 | id={{MathSciNet | id = 0003389}} | year=1940 | journal=[[Journal für die reine und angewandte Mathematik]] | issn=0075-4102 | volume=182 | pages=130–141 | url=http://resolver.sub.uni-goettingen.de/purl?GDZPPN00217491X }}
+*{{Citation | last1=Struik | first1=Ruth Rebekka | title=A note on prime-power groups | url=http://math.ca/cmb/v3/p27 | id={{MathSciNet | id = 0148744}} | year=1960 | journal=[[Canadian Mathematical Bulletin]] | issn=0008-4395 | volume=3 | pages=27–30}}
+*{{Citation | last1=Suzuki | first1=Michio | author1-link=Michio Suzuki | title=Group theory. I | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] | isbn=978-3-540-10915-0 | id={{MathSciNet | id = 648772}} | year=1982 | volume=247}}
+*{{Citation | last1=Suzuki | first1=Michio | author1-link=Michio Suzuki | title=Group theory. II | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] | isbn=978-0-387-10916-9 | id={{MathSciNet | id = 815926}} | year=1986 | volume=248}}
+{{DEFAULTSORT:Isoclinism Of Groups}}
+[[Category:Finite groups]]

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