Commutative Schur Rings Over Symmetric Groups II: The Case n=6

We determine the commutative Schur rings over \(S_6\) that contain the sum of all the transpositions in \(S_6\). There are eight such types (up to conjugacy), of which four have the set of all the transpositions as a principal set of the Schur ring.

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Bibliographic Details
Published inarXiv.org
Main Authors Francis, Amanda E, Humphries, Stephen P
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.08.2015
Subjects
Rings (mathematics)
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Summary:We determine the commutative Schur rings over \(S_6\) that contain the sum of all the transpositions in \(S_6\). There are eight such types (up to conjugacy), of which four have the set of all the transpositions as a principal set of the Schur ring.
ISSN:2331-8422