Math 2.0

Group theory and generalizations Foundations Concept

Commutator of two elements

Summary

The commutator of two elements gg and hh of a group is [g,h]=g−1h−1gh[g, h] = g^{-1} h^{-1} g h. It is the identity exactly when gg and hh commute.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Commutator, Group theory
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