# Group in which every square is a commutator

From Groupprops

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism

View a complete list of group propertiesVIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

## Contents

## Definition

### Symbol-free definition

A **group in which every square is a commutator** is a group with the property that every square element in the group (i.e., every element obtained by multiplying some element of the group with itself) is a commutator.