# Category:Functional subgroups

Computing portal |

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)*