# Category:Subgroup property satisfactions for subgroup-defining functions

From Groupprops

This category lists subgroup property satisfactions for subgroup-defining functions.

## Pages in category "Subgroup property satisfactions for subgroup-defining functions"

The following 31 pages are in this category, out of 31 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### C

- Center is bound-word
- Center is characteristic
- Center is direct projection-invariant
- Center is elementarily characteristic
- Center is local powering-invariant
- Center is marginal of finite type
- Center is normal
- Center is purely definable
- Center is quasiautomorphism-invariant
- Center is quotient-local powering-invariant in nilpotent group
- Center is quotient-powering-invariant
- Center is strictly characteristic
- Center is torsion-faithful in nilpotent group
- Centralizer of derived subgroup is hereditarily 2-subnormal