Point-Transitive Linear Spaces

被引：0
|
作者：
Haiyan GUAN
机构：
[1] Department of Mathematics, China Three Gorges University
[2] Three Gorges Mathematical Research Center
来源：
JournalofMathematicalResearchwithApplications | 2018年 / 38卷 / 06期
基金：
中国国家自然科学基金;
关键词：
linear space; design; automorphism group; point-transitive;
D O I：
暂无
中图分类号：
O177.3 [线性空间理论（向量空间）];
学科分类号：
070104 ;
摘要：
This work is a contribution to the classification of linear spaces admitting a pointtransitive automorphism group. Let S be a regular linear space with 51 points, with lines of size 6, and G be an automorphism group of S. We prove that G cannot be point-transitive.
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页码：551 / 556
页数：6
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