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2-(v,11,1)设计的可解区传递自同构群 被引量:1

Block Transitive Automorphism Groups of 2-(v,11,1)Designs
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摘要 设 G是一个 2 - (v,11,1)设计的可解区传递但非旗传递自同构群 ,且 G点 -本原则 ,则 v=pn,G ΑΓ L (1,pn)且 p≠ 2 . Let G be a soluble block transitive automorphism group of 2-(v,11,1) design and G be point primitivity,then v=pn ,GAΓL(1,pn)and p≠2.
出处 《数学理论与应用》 2004年第4期7-9,共3页 Mathematical Theory and Applications
关键词 自同构群 传递 原则 Autorphism Block-transitive point-primitivity
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参考文献2

  • 1Christoph Hering. Transitive linear groups and linear groups which contain irreducible subgroups of prime order[J] 1974,Geometriae Dedicata(4):425~460
  • 2K. Zsigmondy. Zur Theorie der Potenzreste[J] 1892,Monatshefte für Mathematik und Physik(1):265~284

同被引文献7

  • 1徐明曜.有限群导引(上册)[M].北京:科学出版社,2001:80-85.
  • 2BUEKENHOUT F,DELANDTSHEER A,DOYEN J,et al. Linear spaces with flag-transitive automorphism groups [J]. Geom Dedieata, 1990,36 :89-94.
  • 3CAMINA A R,PRAEGER C E. Line-transitive automorphism groups of linear spaces [J]. Bull London Math Soc, 1993,25:309-315.
  • 4CAMINA A R, SIEMONS J. Block transitive automorphism groups of 2-(v,k, 1) block designs[J]. J Combin Theory: Ser A, 1989,51:268-276.
  • 5O'KEEFE C M,PWNTILLA T, PRAEGER C E. The block-transitive, point-imprimitive designs with λ= 1 [J]. Discrete Math, 1993,155:231-244.
  • 6DELANDTSHEER A. Line-transitive automorphism groups of linear spaees[J]. Europ J Combin,1989,10(2).161- 169.
  • 7CAMINA A R,MARTINO D I. The groups of automorphisms of a transitive 2-(91,6,1) design[J]. Geom Dedicata, 1989,31 : 151-164.

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