Vanishing classes for $p$-singular characters of symmetric groups
Representation Theory
2015-12-15 v2 Combinatorics
Abstract
We call an irreducible character -singular if divides its degree. We prove a number of equivalent conditions for a character of the symmetric group to be -singular, involving a certain family of conjugacy classes. This answers in part a question by Navarro.
Cite
@article{arxiv.1404.0220,
title = {Vanishing classes for $p$-singular characters of symmetric groups},
author = {Lucia Morotti},
journal= {arXiv preprint arXiv:1404.0220},
year = {2015}
}