Math 2.0

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.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

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

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