Sign Conjugacy Classes of the Symmetric Groups

  • Lucia Morotti
Keywords: Symmetric groups, Characters, Partitions

Abstract

A conjugacy class $C$ of a finite group $G$ is a sign conjugacy class if every irreducible character of $G$ takes value 0, 1 or -1 on $C$. In this paper we classify the sign conjugacy classes of the symmetric groups and thereby verify a conjecture of Olsson.

Author Biography

Lucia Morotti, RWTH Aachen University
Lehrstuhl D für Mathematik
Published
2015-07-17
Article Number
P3.12