Commutative Schur rings over symmetric groups

Stephen Humphries
Brigham Young University, Provo, Ut, USA

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Minisymposium: ASSOCIATION SCHEMES

Content: We study commutative Schur rings over the symmetric group $S_n$ that contain the sum of the transpositions in $S_n$, by determining the possibilities for the partition of the class of transpositions that such a Schur ring gives. We note a connection with Gallai colorings of complete graphs.

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