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

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Amanda E. Francis¹  Stephen P. Humphries¹ 

[1] Department of Mathematics, BrighamYoung University

关键词: Schur ring;    Conjugacy class;    Symmetric group;    Group algebra;   

DOI  :  10.13069/jacodesmath.79635

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

We determine the commutative Schur rings over S6 that contain the sum of all the transpositions inS6. There are eight such types (up to conjugacy), of which four have the set of all the transpositionsas a principal set of the Schur ring.

【 授权许可】

CC BY