Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle

被引:31
作者
Regueiro, EO [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
关键词
D O I
10.1016/j.ejc.2004.05.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove that there cannot be a biplane admitting a primitive, flag-transitive automorphism group of almost simple type, with alternating or sporadic socle. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:577 / 584
页数:8
相关论文
共 19 条
  • [1] Aschbacher M., 1971, Journal of Combinatorial Theory, Series A, V11, P272, DOI 10.1016/0097-3165(71)90054-9
  • [2] ASSMUS EF, 1977, HIGHER COMBINATORICS, P249
  • [3] BIPLANES
    CAMERON, PJ
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1973, 131 (01) : 85 - 101
  • [4] FLAG-TRANSITIVITY AND PRIMITIVITY
    DAVIES, H
    [J]. DISCRETE MATHEMATICS, 1987, 63 (01) : 91 - 93
  • [5] Delandtsheer A, 2001, ALGEBRAIC COMBINATORICS AND APPLICATIONS, P79
  • [6] Denniston RHF, 1980, ARS COMBINATORIA, P167
  • [7] *GAP GROUP, 2002, GAP GROUPS ALG PROGR
  • [8] Hall M Jr, 1970, J COMB THEORY, P12, DOI 10.1016/S0021-9800(70)80004-7
  • [9] HUSSAIN QM, 1945, SANKHYA, V7, P204
  • [10] IVANOV AA, 1999, GEOMETRY SPORADIC GR, pR1