A characterization of PSL(3, q) for q=2m

被引:27
|
作者
Iranmanesh, A
Alavi, SH
Khosravi, B
机构
[1] Tarbiat Modarres Univ, Dept Math, Tehran, Iran
[2] Inst Studies Theoret Phys & Math, Tehran, Iran
关键词
finite group; simple group; prime graph; order component;
D O I
10.1007/s101140200164
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The order components of a finite group are introduced in [12]. In [9], it is proved that the group PSL(3, q), where q is an odd prime power, is uniquely determined by its order components. In this paper, we show that the group PSL(3, q), where q = 2(m), is also uniquely determined by its order components.
引用
收藏
页码:463 / 472
页数:10
相关论文
共 50 条
  • [41] Constructive recognition of PSL(2, q)
    Conder, MDE
    Leedham-Green, CR
    O'Brien, EA
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (03) : 1203 - 1221
  • [42] Coprime commutators in PSL(2, q)
    Pellegrini, Marco Antonio
    Shumyatsky, Pavel
    ARCHIV DER MATHEMATIK, 2012, 99 (06) : 501 - 507
  • [43] The depth of subgroups of PSL(2, q)
    Fritzsche, Tim
    JOURNAL OF ALGEBRA, 2012, 349 (01) : 217 - 233
  • [44] Coprime commutators in PSL(2, q)
    Marco Antonio Pellegrini
    Pavel Shumyatsky
    Archiv der Mathematik, 2012, 99 : 501 - 507
  • [45] Cohomology of PSL2(q)
    Saunders, Jack
    JOURNAL OF ALGEBRA, 2022, 595 : 347 - 379
  • [46] A classification of regular embeddings of hypercubes Q 2m with m odd
    Xu, Jing
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (12): : 1673 - 1679
  • [47] THE GENUS OF PSL2(Q)
    GLOVER, H
    SJERVE, D
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1987, 380 : 59 - 86
  • [48] Huppert's Analogue Conjecture for PSL(3, q) and PSU(3, q)
    Liu, Yang
    Yang, Yong
    RESULTS IN MATHEMATICS, 2023, 78 (01)
  • [49] The residually weakly primitive geometries of PSL(3, q) with q < 8
    Gailly M.
    Leemans D.
    Aequationes mathematicae, 2004, 67 (1-2) : 195 - 196
  • [50] 2-(v,k,1) DESIGNS AND PSL (3,q) WHERE q IS ODD
    Ding ShifengDept. of Math.
    Applied Mathematics:A Journal of Chinese Universities, 2003, (03) : 343 - 351