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 

作者机构：Institute of Mathematics Hangzhou Dianzi University 310018 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2010年第30卷第4期

页      面：581-588页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：block design block-transitive point-primitive automorphism group. 

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.