摘要
讨论了马休群旗传递作用于斯坦诺4-设计上情况,得到了如下结论:设D=(X,B,I)是非平凡的斯坦诺4-设计,D的自同构群G旗传递地作用在D上。若G是几乎单群,则i)Soc(G)不同构于单群:N=Mv,v=12,22,24和N=M11,v=12;ii)若N=M11,v=11,则D是一个斯坦诺4-(11,5,1)设计,且GM11;iii)若N=M23,v=23,则D是一个斯坦诺4-(23,7,1)设计,且GM23。
Mathieu groups acting flag - transitivly on the Steiner 4 - Designs was discussed, and the following result was obtained:Let D = (X, B, I) be a non - trivial Steiner 4 - design,and G be a flag- transitive automorphism group of D,if G is almost simple type, then
i) Sot(G) is not isomorphic to N= Mv,v= 12,22,24 and N= M11,v= 12;
ii) If N = M11, v = 11, then D is Steiner 4 - ( 11,5,1 ) design, and G △ M11;
iii)If N= M23 ,v = 23,then D is a Steiner 4- (23,7,1) design, and G △M23.
出处
《数学理论与应用》
2008年第1期97-100,共4页
Mathematical Theory and Applications
基金
湖南省自然科学基金(10471152)资助
关键词
几乎单群
斯坦诺设计
旗传递
自同构群
马休群
Mathieu groups Steiner design flag- transitive automorphism group almost simple type group