show · group.metabelian all knowls · up · search:

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.

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

Not referenced anywhere at the moment.

History: