Irreducible p-constant characters of finite reflection groups
Group Theory
2017-02-07 v2 Representation Theory
Abstract
A complex irreducible character of a finite group G is said to be p-constant, for some prime p dividing the order of G, if it takes constant value at the set of p-singular elements of G. In this paper we classify irreducible p-constant characters for finite reflection groups, nilpotent groups and complete monomial groups. We also propose some conjectures about the structure of the groups admitting such characters.
Keywords
Cite
@article{arxiv.1606.01888,
title = {Irreducible p-constant characters of finite reflection groups},
author = {Marco Antonio Pellegrini},
journal= {arXiv preprint arXiv:1606.01888},
year = {2017}
}
Comments
To appear in Journal of Group Theory