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The rank of a finite group $G$ is the minimal number of elements required to generate it, which is often smaller than the number of generators in a polycyclic presentation. For $p$-groups, the rank can be computed by taking the $\mathbb{F}_p$-dimension of the quotient by the Frattini subgroup.

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  • Review status: reviewed
  • Last edited by David Roe on 2021-09-27 19:04:25
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