Definition:Commutator/Group

Definition
Let $\left({G, \circ}\right)$ be a group.

Let $g, h \in G$.

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


 * $\left[{g, h}\right] := g^{-1} \circ h^{-1} \circ g \circ h$

Also see

 * Definition:Commutator Subgroup