Definition:Commutator/Group

Definition

Let $\struct {G, \circ}$ be a group.

Let $g, h \in G$.

The commutator of $g$ and $h$ is the operation:

$\sqbrk {g, h} := g^{-1} \circ h^{-1} \circ g \circ h$

Also see

• Results about commutators of group elements can be found here.