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"

The following 9 pages are in this category, out of 9 total. This list may not reflect recent changes (learn more).