Sign Conjugacy Classes of the Symmetric Groups
Copyright policy )Sign Conjugacy Classes of the Symmetric Groups
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.
- RWTH Aachen University Germany
sign conjugacy classes, symmetric groups, ordinary characters, sign partitions, Representations of finite symmetric groups, irreducible complex characters, Combinatorial aspects of representation theory, Murnaghan-Nakayama rule, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Representation Theory, Conjugacy classes for groups
sign conjugacy classes, symmetric groups, ordinary characters, sign partitions, Representations of finite symmetric groups, irreducible complex characters, Combinatorial aspects of representation theory, Murnaghan-Nakayama rule, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), Mathematics - Representation Theory, Conjugacy classes for groups
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