On vanishing class sizes in finite groups
Group Theory
2017-06-20 v1
Abstract
Let be a finite group. An element of is called a vanishing element if there exists an irreducible character of such that ; in this case, we say that the conjugacy class of is a vanishing conjugacy class. In this paper, we discuss some arithmetical properties concerning the sizes of the vanishing conjugacy classes in a finite group.
Cite
@article{arxiv.1706.05611,
title = {On vanishing class sizes in finite groups},
author = {Mariagrazia Bianchi and Julian M. A. Brough and Rachel D. Camina and Emanuele Pacifici},
journal= {arXiv preprint arXiv:1706.05611},
year = {2017}
}