# Category:Subgroup property dissatisfactions for subgroup-defining functions

From Groupprops

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

The following 32 pages are in this category, out of 32 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### C

- Center not is 1-automorphism-invariant
- Center not is divisibility-closed
- Center not is endomorphism kernel
- Center not is fully invariant
- Center not is image-closed characteristic
- Center not is injective endomorphism-invariant
- Center not is intermediately characteristic
- Center not is intermediately local powering-invariant in solvable group
- Center not is intermediately powering-invariant
- Center not is normality-preserving endomorphism-invariant
- Center not is quotient-local powering-invariant in solvable group
- Center not is retraction-invariant
- Center not is surjective endomorphism-balanced
- Center not is weakly normal-homomorph-containing

### D

- Derived subgroup not is divisibility-closed
- Derived subgroup not is intermediately powering-invariant in nilpotent group
- Derived subgroup not is local divisibility-closed in nilpotent group
- Derived subgroup not is local powering-invariant
- Derived subgroup not is powering-invariant
- Derived subgroup not is purely definable
- Derived subgroup not is quasiautomorphism-invariant