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区传递的2-(v,11,1)设计与典型单群
  • 期刊名称：数学进展
  • 时间：0
  • 页码：319-330
  • 语言：中文
  • 分类：O157.2[理学—数学;理学—基础数学]
  • 作者机构：[1]杭州电子科技大学数学研究所,杭州浙江310018, [2]解放军信息工程大学信息工程学院,郑州河南450002
  • 相关基金：国家自然科学基金（No.10871205）; 中国博士后科学基金（No.20080441323）; 浙江省教育厅项目（No.Y200804780）
  • 相关项目：具有良好传递性的组合结构
作者： 马传贵|韩广国|
关键词： 设计, 自同构群, 区传递, 点本原, 典型单群, design, automorphism group, block transitive, point primitive, classical simple group
中文摘要：

讨论区传递的2-（v,k,1）设计的分类问题.特别地,讨论自同构群的基柱为典型单群的区传递,点本原但非旗传递的2-（v,11,1）设计.设D为一个2-（v,11,1）设计,若G≤Aut（D）是区传递,点本原但非旗传递的,则G的基柱Soc（G）不是有限域GF（q）（q为奇数）上的典型单群.

英文摘要：

This article is a contribution to the study of the automorphism groups of 2- （v,k,1） designs.Let D be a 2-（v,11,1） design,G≤Aut（P） be block transitive,point primitive but not flag transitive,then Soc（G）,the socle of G,is not classical simple group over finite field GF（q）（q odd）.

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