EN
Commutative Schur rings over symmetric groups II: The case n = 6
Öz
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.
Anahtar Kelimeler
Kaynakça
- [1] W. Bosma, J. Cannon, Magma handbook, University of Sydney, 1993.
- [2] C. W. Curtis, Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer. Vol. 15. American Mathematical Soc., 1999.
- [3] S. A. Evdokimov, I. N. Ponomarenko, On a family of Schur rings over a finite cyclic group (Russian), Algebra i Analiz. 13(3) (2001) 139–154; translation in St. Petersburg Math. J. 13(3) (2002) 441–451.
- [4] S. P. Humphries, Commutative Schur rings over symmetric groups, J. Algebraic Combin. 42(4) (2015) 971–997.
- [5] S. P. Humphries, K. W. Johnson, A. Misseldine, Commutative Schur rings of maximal dimension, Comm. Algebra. 43(12) (2015) 5298–5327.
- [6] K. H. Leung, S. H. Man, On Schur rings over cyclic groups, Israel J. Math. 106(1) (1998) 251–267.
- [7] K. H. Leung, S. H. Man, On Schur rings over cyclic groups, II, J. Algebra. 183(2) (1996) 273–285.
- [8] M. E. Muzychuk, On the structure of basic sets of Schur rings over cyclic groups, J. Algebra. 169(2) (1994) 655–678.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
15 Mayıs 2016
Gönderilme Tarihi
5 Eylül 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2016 Cilt: 3 Sayı: 2
APA
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. https://doi.org/10.13069/jacodesmath.79635
AMA
1.Francis AE, Humphries SP. Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3(2):61-80. doi:10.13069/jacodesmath.79635
Chicago
Francis, Amanda E., ve Stephen P. Humphries. 2016. “Commutative Schur rings over symmetric groups II: The case n = 6”. Journal of Algebra Combinatorics Discrete Structures and Applications 3 (2): 61-80. https://doi.org/10.13069/jacodesmath.79635.
EndNote
Francis AE, Humphries SP (01 Mayıs 2016) Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications 3 2 61–80.
IEEE
[1]A. E. Francis ve S. P. Humphries, “Commutative Schur rings over symmetric groups II: The case n = 6”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy 2, ss. 61–80, May. 2016, doi: 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 (01 Mayıs 2016): 61-80. https://doi.org/10.13069/jacodesmath.79635.
JAMA
1.Francis AE, Humphries SP. Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications. 2016;3:61–80.
MLA
Francis, Amanda E., ve Stephen P. Humphries. “Commutative Schur rings over symmetric groups II: The case n = 6”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 3, sy 2, Mayıs 2016, ss. 61-80, doi:10.13069/jacodesmath.79635.
Vancouver
1.Amanda E. Francis, Stephen P. Humphries. Commutative Schur rings over symmetric groups II: The case n = 6. Journal of Algebra Combinatorics Discrete Structures and Applications. 01 Mayıs 2016;3(2):61-80. doi:10.13069/jacodesmath.79635