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

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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