Irreducible induction and nilpotent subgroups in finite groups
Representation Theory
2019-02-27 v1
Abstract
Suppose that is a finite group and is a nilpotent subgroup of . If a character of induces an irreducible character of , then the generalized Fitting subgroup of is nilpotent.
Cite
@article{arxiv.1902.09617,
title = {Irreducible induction and nilpotent subgroups in finite groups},
author = {Zoltan Halasi and Attila Maroti and Gabriel Navarro and Pham Huu Tiep},
journal= {arXiv preprint arXiv:1902.09617},
year = {2019}
}