Flag-transitive 2-（v, k, λ） symmetric designs with （k, λ） =1 and alternating socle  

作　　者：Yan ZHU Haiyan GUAN Shenglin ZHOU 

机构地区：[1]School of Mathematics, South China University of Technology, Guangzhou 510640, China [2]Department of Mathematics, China Three Gorges University, Yichang 443002, China

出　　处：《Frontiers of Mathematics in China》2015年第6期1483-1496,共14页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The authors would like to thank the anonymous referees for their valuable suggestions and comments which helped to improve this paper. This work was supported by the National Natural Science Foundation of China （Grant No. 11471123） and the Natural Science Foundation of Guangdong Province （Grant No. $2013010011928）.

摘　　要：Consider the flag-transitive 2-（v, k, λ） symmetric designs with （k, λ）= 1. We prove that if （） is a nontrivial 2-（v, k, λ）symmetric design with （k,λ） = 1 and G ≤ Aut（） is flag-transitive with Sot（G） = An for n ≥5, then is the projective space PG2（3, 2） and G = A7.Consider the flag-transitive 2-（v, k, λ） symmetric designs with （k, λ）= 1. We prove that if （） is a nontrivial 2-（v, k, λ）symmetric design with （k,λ） = 1 and G ≤ Aut（） is flag-transitive with Sot（G） = An for n ≥5, then is the projective space PG2（3, 2） and G = A7.

关 键 词：Symmetric design automorphism group alternating group flagtransitive 

分 类 号：S226.5[农业科学—农业机械化工程] TU753[农业科学—农业工程]