Sign conjugacy classes of the symmetric groups.
The electronic journal of combinatorics, Tome 22 (2015) no. 3
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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.
DOI : 10.37236/5060
Classification : 20C30, 05E10, 20E45
Mots-clés : symmetric groups, ordinary characters, irreducible complex characters, sign conjugacy classes, Murnaghan-Nakayama rule, sign partitions

Lucia Morotti  1

1 RWTH Aachen University
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     author = {Lucia Morotti},
     title = {Sign conjugacy classes of the symmetric groups.},
     journal = {The electronic journal of combinatorics},
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Lucia Morotti. Sign conjugacy classes of the symmetric groups.. The electronic journal of combinatorics, Tome 22 (2015) no. 3. doi: 10.37236/5060

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