On a generalization of M-group
Group Theory
2012-11-09 v2 Representation Theory
Abstract
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.
Cite
@article{arxiv.1206.5067,
title = {On a generalization of M-group},
author = {Tung Le and Jamshid Moori and Hung P. Tong-Viet},
journal= {arXiv preprint arXiv:1206.5067},
year = {2012}
}
Comments
17 pages, to appear in J. Algebra