Wedderburn decomposition of finite group algebras

被引:23
作者
Broche, Osnel
del Rio, Angel [1 ]
机构
[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain
[2] Univ Sao Paulo, Inst Matemat & Estatist, Sao Paulo, Brazil
关键词
group algebra; finite fields; coding theory;
D O I
10.1016/j.ffa.2005.08.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show a method to effectively compute the Wedderburn decomposition and the primitive central idempotents of a semisimple finite group algebra of an abelian-by-supersolvable group G from certain pairs of subgroups of G. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:71 / 79
页数:9
相关论文
共 16 条
  • [1] BERMAN SD, 1967, CYBERNETICS, V3, P25
  • [2] CHARPIN P, 1982, CR ACAD SCI I-MATH, V294, P597
  • [3] DRENSKY V, 1989, LECT NOTES COMPUTER, V257, P181
  • [4] CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP
    Jespers, Eric
    Leal, Guilherme
    Paques, Antonio
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2003, 2 (01) : 57 - 62
  • [5] Kelarev A. V., 2001, CONT MATH, V273, P11, DOI DOI 10.1090/conm/273/04419
  • [6] MACWILLIAMS FJ, 1969, COMBINATORIAL MATH I, P317
  • [7] On monomial characters and central idempotents of rational group algebras
    Olivieri, A
    del Río, A
    Simón, JJ
    [J]. COMMUNICATIONS IN ALGEBRA, 2004, 32 (04) : 1531 - 1550
  • [8] An algorithm to compute the primitive central idempotents and the Wedderburn decomposition of a rational group algebra
    Olivieri, A
    del Río, A
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 2003, 35 (06) : 673 - 687
  • [9] Passman DS, 1989, INFINITE CROSSED PRO
  • [10] Pless V., 1998, HDB CODING THEORY