Sign conjugacy classes of the symmetric groups.
The electronic journal of combinatorics, Tome 22 (2015) no. 3
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
Mots-clés : symmetric groups, ordinary characters, irreducible complex characters, sign conjugacy classes, Murnaghan-Nakayama rule, sign partitions
Affiliations des auteurs :
Lucia Morotti  1
@article{10_37236_5060,
author = {Lucia Morotti},
title = {Sign conjugacy classes of the symmetric groups.},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {3},
doi = {10.37236/5060},
zbl = {1330.20017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5060/}
}
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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