Block-Transitive 2-(v,k,1) Designs and Groups E_6(q)  

作　　者：Guang Guo HAN1,2 1. Institute of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, P. R. China 2. Institute of Information Engineering, Information Engineering University, Henan 450002, P. R. China 

出　　处：《Journal of Mathematical Research and Exposition》2010年第4期581-588,共8页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10871205);China Postdoctoral Science Foundation Funded Project (Grant No.20080441323) ;Scientific Research Fund of Zhejiang Education Department (Grant No.Y200804780)

摘　　要：This article is a contribution to the study of block-transitive automorphism groups of 2-（v,k,1） block designs. Let D be a 2-（v,k,1） design admitting a block-transitive, pointprimitive but not flag-transitive automorphism group G. Let kr = （k,v-1） and q = pf for prime p. In this paper we prove that if G and D are as above and q （3（krk-kr ＋ 1）f）1/3, then G does not admit a simple group E6（q） as its socle.This article is a contribution to the study of block-transitive automorphism groups of 2-（v,k,1） block designs. Let D be a 2-（v,k,1） design admitting a block-transitive, pointprimitive but not flag-transitive automorphism group G. Let kr = （k,v-1） and q = pf for prime p. In this paper we prove that if G and D are as above and q （3（krk-kr ＋ 1）f）1/3, then G does not admit a simple group E6（q） as its socle.

关 键 词：block design BLOCK-TRANSITIVE point-primitive automorphism group. 

分 类 号：O152.1[理学—数学]