Groups with few $p'$-character degrees
Group Theory
2019-04-16 v1 Representation Theory
Abstract
We prove a variation of Thompson's Theorem. Namely, if the first column of the character table of a finite group contains only two distinct values not divisible by a given prime number , then . This is done by using the classification of finite simple groups.
Cite
@article{arxiv.1904.06545,
title = {Groups with few $p'$-character degrees},
author = {Eugenio Giannelli and Noelia Rizo and Mandi Schaeffer Fry},
journal= {arXiv preprint arXiv:1904.06545},
year = {2019}
}