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A finite group $G$ is metabelian if its commutator subgroup is abelian. Equivalently, $G$ is an extension of an abelian group by an abelian group. Metabelian groups are solvable, and they include all abelian, dihedral, quaternion, metacyclic, extra​special groups and groups of $p$-rank one.

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  • Review status: beta
  • Last edited by Meow Wolf on 2019-05-22 20:16:22
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