nLab group commutator

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Definition

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

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

This definition Is also valid for invertible semigroups.

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