Sign Conjugacy Classes of the Symmetric Groups

Lucia Morotti

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.

Keywords


Symmetric groups; Characters; Partitions

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