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

#### Amanda E. Francis [1] , Stephen P. Humphries [2]

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.
Schur ring, Conjugacy class, Symmetric group, Group algebra
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Subjects Engineering Articles Author: Amanda E. Francis Author: Stephen P. Humphries Publication Date : May 15, 2016
 Bibtex @research article { jacodesmath285344, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2016}, volume = {3}, pages = {61 - 80}, doi = {10.13069/jacodesmath.79635}, title = {Commutative Schur rings over symmetric groups II: The case n = 6}, key = {cite}, author = {Francis, Amanda E. and Humphries, Stephen P.} } APA Francis, A , Humphries, S . (2016). Commutative Schur rings over symmetric groups II: The case n = 6 . Journal of Algebra Combinatorics Discrete Structures and Applications , 3 (2) , 61-80 . DOI: 10.13069/jacodesmath.79635 MLA Francis, A , Humphries, S . "Commutative Schur rings over symmetric groups II: The case n = 6" . Journal of Algebra Combinatorics Discrete Structures and Applications 3 (2016 ): 61-80 Chicago Francis, A , Humphries, S . "Commutative Schur rings over symmetric groups II: The case n = 6". Journal of Algebra Combinatorics Discrete Structures and Applications 3 (2016 ): 61-80 RIS TY - JOUR T1 - Commutative Schur rings over symmetric groups II: The case n = 6 AU - Amanda E. Francis , Stephen P. Humphries Y1 - 2016 PY - 2016 N1 - doi: 10.13069/jacodesmath.79635 DO - 10.13069/jacodesmath.79635 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 61 EP - 80 VL - 3 IS - 2 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.79635 UR - https://doi.org/10.13069/jacodesmath.79635 Y2 - 2020 ER - EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications Commutative Schur rings over symmetric groups II: The case n = 6 %A Amanda E. Francis , Stephen P. Humphries %T Commutative Schur rings over symmetric groups II: The case n = 6 %D 2016 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 3 %N 2 %R doi: 10.13069/jacodesmath.79635 %U 10.13069/jacodesmath.79635 ISNAD Francis, Amanda E. , Humphries, Stephen P. . "Commutative Schur rings over symmetric groups II: The case n = 6". Journal of Algebra Combinatorics Discrete Structures and Applications 3 / 2 (May 2016): 61-80 . https://doi.org/10.13069/jacodesmath.79635 AMA Francis A , Humphries S . Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016; 3(2): 61-80. Vancouver Francis A , Humphries S . Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016; 3(2): 61-80.

Authors of the Article
[1]
[2]