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A group $G$ is monomial or M-group if every complex irreducible representation of $G$ is induced from a $1$-dimensional representation of some subgroup. Such a group is always solvable, and monomial groups include all supersolvable groups and solvable A-groups. A purely group-theoretic description of monomial groups is not known.

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  • Review status: beta
  • Last edited by Meow Wolf on 2019-05-22 20:10:03
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