On a generalization of M-group
classification
🧮 math.GR
math.RT
keywords
charactergeneralizationirreduciblem-groupsomecomplexeveryfinite
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In this paper, we will show that if for every nonlinear complex irreducible character of a finite group G, some multiple of it is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's Theorem on the solvability of M-group.
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