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