Category:Functional subgroups

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Given a group, there are some subgroups of interest that can be defined uniquely and functionally in terms of G, such as the center, commutator, etc. These should be invariant under isomorphisms, that is, any isomorphism on the groups, must induce a corresponding isomorphism on the subgroups. Hence, such subgroups are invariant under automorphisms, and are always characteristic subgroups.

Pages in category "Functional subgroups"

There are 8 pages in this section of this category.

C Center (group theory) Commutator subgroup

F Fitting subgroup Frattini subgroup G Generalized Fitting subgroup

N Norm (group) P Perfect core S Socle (mathematics)

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Category: Group theory

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• This page was last modified 06:43, 29 April 2006 by Wikipedia user NatusRoma. Based on work by Wikipedia user(s) Vipul.
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