Category:Functional subgroups
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Here is a list of articles in the category Functional subgroups of the Computing portal that unifies foundations of mathematics and computations using computers. Given a group, there are some subgroups of interest that can be defined uniquely and functionally in terms of [math]G[/math], 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.
C
- Center (group theory) (computing)
- Commutator subgroup (computing)
F
- Fitting subgroup (computing)
- Frattini subgroup (computing)
G
- Generalized Fitting subgroup (computing)
H
- Hirsch–Plotkin radical (computing)
N
- Norm (group) (computing)
P
- Perfect core (computing)
S
- Socle (mathematics) (computing)