nLab group commutator

Contents

Contents

Definition

For g,hGg,h \in G two elements of a group, their group commutator is defined as

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

This definition Is also valid for invertible semigroups.

Last revised on June 14, 2021 at 10:05:55. See the history of this page for a list of all contributions to it.