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The commutator subgroup is generated by commutators, but it's not necessarily the case that every element is a commutator. The commutator length of $G$ is the minimal integer $k$ so that every element of $G'$ can be written as the product of $k$ commutators.

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  • Review status: reviewed
  • Last edited by David Roe on 2021-09-27 18:21:34
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