Commutative Schur rings over symmetric groups II: The case n = 6

Year 2016, Volume: 3 Issue: 2, 61 - 80, 15.05.2016

Amanda E. Francis Stephen P. Humphries

https://doi.org/10.13069/jacodesmath.79635

Abstract

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.

Keywords

Schur ring, Conjugacy class, Symmetric group, Group algebra

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