A Class of Imprimitive Association Schemes

被引：0
|
作者：
Bagherian, Javad [1 ]
机构：
[1] Univ Isfahan, Dept Math, POB 81746-73441, Esfahan, Iran
来源：
COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 09期
关键词：
Association scheme; Dual; Primitive; Table algebra; ALGEBRAS;
D O I：
10.1080/00927872.2015.1087002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
From Burnside's pq-Theorem, it follows that any nonabelian group of order pq, where p and q are primes, cannot be simple. As a main result of this article, we state and prove an analog of the mentioned theorem for commutative association schemes.
引用
收藏
页码：3692 / 3704
页数：13
相关论文
共 50 条
  • [41] NEW QUANTUM CODES CONSTRUCTED FROM A CLASS OF IMPRIMITIVE BCH CODES
    Liu, Yang
    Ma, Yuena
    Feng, Youqian
    Li, Ruihu
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2013, 11 (01)
  • [42] (2p+1)-class association schemes from the generalized Maiorana-McFarland class
    Anbar, Nurdagul
    Kalayci, Tekgul
    Meidl, Wilfried
    Ozbudak, Ferruh
    FINITE FIELDS AND THEIR APPLICATIONS, 2025, 103
  • [43] On the equivalence between real mutually unbiased bases and a certain class of association schemes
    LeCompte, Nicholas
    Martin, William J.
    Owens, William
    EUROPEAN JOURNAL OF COMBINATORICS, 2010, 31 (06) : 1499 - 1512
  • [44] On class dimension of flat association schemes in affine and affine-symplectic spaces
    Guo, Jun
    Li, Fenggao
    Wang, Kaishun
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 39 : 43 - 51
  • [45] Self-dual codes from 3-class association schemes
    Bilal, M.
    Borges, J.
    Dougherty, S. T.
    Fernandez-Cordoba, C.
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2015, 26 (03) : 227 - 250
  • [46] ON THE NOMURA ALGEBRAS OF FORMALLY SELF-DUAL ASSOCIATION SCHEMES OF CLASS 2
    Hosseini, A.
    Barghi, A. Rahnmai
    TRANSACTIONS ON COMBINATORICS, 2013, 2 (03) : 1 - 11
  • [47] A Family of Partial Geometric Designs from Three-Class Association Schemes
    Nowak, Kathleen
    Olmez, Oktay
    Song, Sung Y.
    JOURNAL OF COMBINATORIAL DESIGNS, 2016, 24 (12) : 533 - 552
  • [48] 3-class association schemes and Hadamard matrices of a certain block form
    Goldbach, RW
    Claasen, HL
    EUROPEAN JOURNAL OF COMBINATORICS, 1998, 19 (08) : 943 - 951
  • [49] Possible indices for a class of association schemes with thin residue equal to the thin radical
    French, Christopher
    JOURNAL OF ALGEBRA, 2018, 499 : 1 - 36
  • [50] Feasibility conditions for non-symmetric 3-class association schemes
    Goldbach, RW
    Claasen, HL
    DISCRETE MATHEMATICS, 1996, 159 (1-3) : 111 - 118
12345