Title of article :
Commutative Schur rings over symmetric groups II: The case n = 6
Author/Authors :
Francis, Amanda E. Brigham Young University - Department of Mathematics, USA , Humphries, Stephen P. Brigham Young University - Department of Mathematics, USA
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
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
