On Distinct Character Degrees
Group Theory
2022-06-22 v1
Abstract
Berkovich, Chillag and Herzog characterized all finite groups in which all the nonlinear irreducible characters of have distinct degrees. In this paper we extend this result showing that a similar characterization holds for all finite solvable groups that contain a normal subgroup , such that all the irreducible characters of that do not contain in their kernel have distinct degrees.
Cite
@article{arxiv.2201.07062,
title = {On Distinct Character Degrees},
author = {Maria Loukaki},
journal= {arXiv preprint arXiv:2201.07062},
year = {2022}
}