# Category:Group property conjunctions

From Groupprops

This category lists group properties obtaind as the conjunction (AND) of two or more group properties, that are considered more fundamental or important

## Pages in category "Group property conjunctions"

The following 68 pages are in this category, out of 68 total. The count *includes* redirect pages that have been included in the category. Redirect pages are shown in italics.

### A

### F

- Finite abelian group
- Finite CN-group
- Finite cyclic group
- Finite elementary abelian group
- Finite group whose outer automorphism group is cyclic
- Finite group with cyclic quotient of automorphism group by class-preserving automorphism group
- Finite Lazard Lie group
- Finite quasisimple group
- Finite rational group
- Finite simple group
- Finitely generated abelian group
- Finitely generated conjugacy-separable group
- Finitely generated FZ-group
- Finitely generated Hopfian group
- Finitely generated nilpotent group
- Finitely generated parafree group
- Finitely generated periodic group
- Finitely generated profinite group
- Finitely generated residually finite group
- Finitely generated simple group
- Finitely generated solvable group
- Finitely presented conjugacy-separable group
- Finitely presented periodic group
- Finitely presented residually finite group
- Finitely presented simple group
- Finitely presented solvable group