#
nLab

group commutator

### Context

#### Group Theory

**group theory**

### Classical groups

### Finite groups

### Group schemes

### Topological groups

### Lie groups

### Super-Lie groups

### Higher groups

### Cohomology and Extensions

# Contents

## Definition

For $g,h \in G$ two elements of a group, their **group commutator** if

$[g,h] \coloneqq g^{-1} h^{-1} g h
\,.$

Created on August 31, 2012 at 19:30:24.
See the history of this page for a list of all contributions to it.