2-(v,11,1)设计的非可解区传递自同构群

No-solvable Block-transitive Automorphism Group of 2-(v,11,1) Designs

本文主要讨论了区传递的2-(v,k,1)设计的分类,证明了如下的定理:设G是2-(v,11,1)设计Φ的区传递、点本原但非旗传递自同构群.若G非可解,则G的基拄Soc(G)■2G2(q).

This article is devoted to classifying 2 - （v, k, 1） designs whose automorphism group G acts block transitive on block , the follow theorem is proofed ： Let G is the automorphiam of a 2-（v, 11, 1）design Ф which is block-transitive,point-primitive but not flag-transitive, If G is no-solvable, then the socle of G Soc（G）≠^2G2（q）.