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

Amanda E. Francis; Stephen P. Humphries

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

Authors

Amanda E. Francis
Stephen P. Humphries

Keywords:

Schur ring, Conjugacy class, Symmetric group, Group algebra

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.

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Published

2016-05-15

How to Cite

Francis, A. E., & Humphries, S. P. (2016). Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications, 3(2), 61–80. Retrieved from https://www.jacodesmath.com/index.php/jacodesmath/article/view/32