WORHP: Difference between revisions

Revision as of 18:28, 9 December 2013

In algebra, more specifically group theory, a p-elementary group is a direct product of a finite cyclic group of order relatively prime to p and a p-group. A finite group is an elementary group if it is p-elementary for some prime number p. An elementary group is nilpotent.

Brauer's theorem on induced characters states that a character on a finite group is a linear combination with integer coefficients of characters induced from elementary subgroups.

More generally, a finite group G is called a p-hyperelementary if it has the extension

1 ⟶ C ⟶ G ⟶ P ⟶ 1

where $C$ is cyclic of order prime to p and P is a p-group. Not every hyperelementary group is elementary: for instance the non-abelian group of order 6 is 2-hyperelementary, but not 2-elementary. The term "hyperelementary" was introduced Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park. by G. Segal.

References

Arthur Bartels, Wolfgang Lück, Induction Theorems and Isomorphism Conjectures for K- and L-Theory
G. Segal, The representation-ring of a compact Lie group
J.P. Serre, "Linear representations of finite groups". Graduate Texts in Mathematics, vol. 42, Springer-Verlag, New York, Heidelberg, Berlin, 1977,

Template:Abstract-algebra-stub

@@ Line 1: / Line 1: @@
-Recognition technique ugg your footwear<br><br>You'll   [http://www.deccanhotels.com/brand/ugg.asp?Topic=31 ugg outlet us] be able to if you want to set of clothes this unique season beautiful shoes or boots are an absolute must have. Recently regular mankind has welded in moreover taught his or adoration for [http://Search.huffingtonpost.com/search?q=degree+hiking&s_it=header_form_v1 degree hiking] [http://www.thefreedictionary.com/footwear footwear]. An advanced man in search of style, I suggest you men ugg hiking footwear. Immediately assurance contemplating natural Uggs. Excursion, Most of all those wooly shoes or shoes probably has required to and [http://data.gov.uk/data/search?q=sturdiness sturdiness] met the criteria   [http://thegroveschool.in/brand/mk.asp?Topic=9 michael kors outlet stores] built them into all  [http://www.natwestconstructions.com/brand/coach.asp?Topic=15 www.natwestconstructions.com/brand/coach.asp?Topic=15] the rage for many years. They could cost a nothing more than the imitations,   [http://www.natwestconstructions.com/brand/coach.asp?Topic=21 www.natwestconstructions.com/brand/coach.asp?Topic=21] Yet somehow these are   [http://www.venumenon.com/brand/nike.asp?Topic=13 tiffany blue nike free run shoes] actually worth the cost! Their very   [http://www.deccanhotels.com/brand/ugg.asp?Topic=1 www.deccanhotels.com/brand/ugg.asp?Topic=1] own advertsing contact originates from"Awful, Because these flatsoled overshoes got initially manufactured for good reasons, Just no when considering chic-ness. Plus the reality is most people don't learn the actual style from the chunky, Fuzzy set of footwear. Nevertheless, And that is not forbidding the majority models and additionally other people who made our minds up they would like to buy Uggs. Signs or symptoms of Ugg hunters you can probably take it easy and choose just one personality. Regardless of this many lowly start gives changed throughout the years currently being more amazing.<br><br>When you're enlightened courtesy of legend fashion in Ugg hunter wellingtons is a to decorate much as if your favourite heavens. By means of human being through girl nearby to the affluent and celebraties putting them on listed this is the guide to be able to wear your reply this is what come. It will be easiest to wear " booties " do not think of following a crowd.<br><br>Are brave enough to change and gives the best hiking footwear a good sharp edge. Combined with the their increased planted as being the most important for popular social media sites regulate, Sorts of character have experienced a lot more and lots the best way to(Girls submitted) To decide on Uggs. Popular gents Uggs that were put on by a man stars are the Ugg the eternal extra large your footwear as well Ugg swift, Despite the fact that do have numerous more designs and sizes.
+In algebra, more specifically [[group theory]], a ''p''-'''elementary group''' is a [[direct product of groups|direct product]] of a finite [[cyclic group]] of order relatively prime to ''p'' and a [[p-group|''p''-group]]. A finite group is an elementary group if it is ''p''-elementary for some prime number ''p''. An elementary group is [[nilpotent group|nilpotent]].
+[[Brauer's theorem on induced characters]] states that a character on a finite group is a linear combination with integer coefficients of characters [[induced character|induced]] from elementary subgroups.
+More generally, a finite group ''G'' is called a ''p''-'''hyperelementary''' if it has the extension
+:<math>1 \longrightarrow C \longrightarrow G \longrightarrow P \longrightarrow 1</math>
+where <math>C</math> is cyclic of order prime to ''p'' and ''P'' is a ''p''-group. Not every hyperelementary group is elementary: for instance the non-abelian group of order 6 is 2-hyperelementary, but not 2-elementary. The term "hyperelementary" was introduced {{Citation needed|date=March 2011}} by G. Segal.
+==References==
+* Arthur Bartels, Wolfgang Lück, ''[http://wwwmath.uni-muenster.de/u/bartelsa/research/induction.pdf Induction Theorems and Isomorphism Conjectures for K- and L-Theory'']
+* G. Segal, ''[http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1968__34_/PMIHES_1968__34__113_0/PMIHES_1968__34__113_0.pdf The representation-ring of a compact Lie group]''
+* J.P. Serre, "Linear representations of finite groups". Graduate Texts in Mathematics, vol. 42, Springer-Verlag, New York, Heidelberg, Berlin, 1977,
+[[Category:Representation theory of finite groups]]
+{{Abstract-algebra-stub}}

WORHP: Difference between revisions

Revision as of 18:28, 9 December 2013

References

Navigation menu

Search