# Category:Group metaproperty satisfactions

From Groupprops

*This category lists metaproperty satisfactions over the context space: group. It lists articles which gives the statement, and possibly proof, of a group property satisfying a group metaproperty*

## Pages in category "Group metaproperty satisfactions"

The following 41 pages are in this category, out of 41 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### A

- Abelianness is 2-local
- Abelianness is directed union-closed
- Abelianness is quotient-closed
- Abelianness is subgroup-closed
- ACIC is characteristic subgroup-closed
- Ambivalence is direct product-closed
- Ambivalence is quotient-closed
- Ascending chain condition on subnormal subgroups is normal subgroup-closed