Burnside ring: Difference between revisions

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m →References: Fix various citation "unknown parameter", ISBN, and URL errors/issues. Run gen fixes and typos if found., replaced: {{Citation | last=tom Dieck | first=Tammo | title=Transformation groups | publisher=Walter using AWB
 
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{{Unreferenced|date=December 2009}}
Hi there. My title is Garland even though it is not the name on my birth certification. His working day job is a cashier and his wage has been truly satisfying. Some time ago he selected to reside in Idaho. Camping is some thing that I've done for years.<br><br>Here is my site ... extended car warranty; [http://racespace.org/groups/auto-repair-tips-make-your-car-running-smooth/ Suggested Website],
In [[mathematics]], in the field of [[group theory]], a [[subgroup]] of a [[group (mathematics)|group]] is said to be '''transitively normal''' in the group if every [[normal subgroup]] of the subgroup is also normal in the whole group. In symbols, <math>H</math> is a transitively normal subgroup of <math>G</math> if for every <math>K</math> normal in <math>H</math>, we have that <math>K</math> is normal in <math>G</math>.
 
An alternate way to characterize these subgroups is: every ''normal subgroup preserving [[automorphism]]'' of the whole group must restrict to a ''normal subgroup preserving automorphism'' of the subgroup.
 
Here are some facts about transitively normal subgroups:
 
*Every [[normal subgroup]] of a transitively normal subgroup is normal.
*Every [[direct factor]], or more generally, every [[central factor]] is transitively normal. Thus, every
[[central subgroup]] is transitively normal.
*A transitively normal subgroup of a transitively normal subgroup is transitively normal.
*A transitively normal subgroup is normal.
 
Also see: [[Normal subgroup]]
 
{{DEFAULTSORT:Transitively Normal Subgroup}}
[[Category:Subgroup properties]]

Latest revision as of 09:36, 10 April 2014

Hi there. My title is Garland even though it is not the name on my birth certification. His working day job is a cashier and his wage has been truly satisfying. Some time ago he selected to reside in Idaho. Camping is some thing that I've done for years.

Here is my site ... extended car warranty; Suggested Website,

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