Definition:Commutator of Group Elements/Definition 2

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Definition

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

Let $g, h \in G$.


The commutator of $g$ and $h$ is the element $c$ of $G$ with the property:

$h \circ g \circ c := g \circ h$


Also see

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


Sources