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arXiv:1206.5067 [math.GR]AbstractReferencesReviewsResources

On a generalization of M-group

Tung Le, Jamshid Moori, Hung P. Tong-Viet

Published 2012-06-22, updated 2012-11-08Version 2

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.

Comments: 17 pages, to appear in J. Algebra
Categories: math.GR, math.RT
Subjects: 20C15, 20D10, 20D05, 20C33
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