# Category:Properties of groups

A group property is something that every group either satisfies or does not satisfy. Group properties must satisfy the condition of isomorphism invariance: if ${\displaystyle G_{1}}$ and ${\displaystyle G_{2}}$ are two isomorphic groups, they either both have the property or both do not have the property.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Properties of groups"

The following 86 pages are in this category, out of 86 total. This list may not reflect recent changes (learn more).