2 -（v,23,1）设计的传递自同构群

doi:10.13371/j.cnki.chin.q.j.m.2015.04.011

数学季刊 ›› 2015, Vol. 30 ›› Issue (4): 579-586.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.011

2 -（v,23,1）设计的传递自同构群

School of Mathematics and Statistics, Changshu Institute of Technology. School of Mathematics and Science, Soochow University

收稿日期:2004-02-24 出版日期:2015-12-30 发布日期:2020-11-19
作者简介:LI Shang-zhao(1982-), male, Xianju, Zhejiang, a lecturer of Changshu Institute of Technology, Ph.D., engages in groups and algebraic combinatorics.
基金资助:
Supported by the National Natural Science Foundation of China(11271208,11471054)； Supported by the Graduate Students’Scientific Research Innovation Project of Jiangsu Province Ordinary University(KYLX1213)；

The Group of Automorphisms of Transitive 2 - (v; 23; 1) Designs

School of Mathematics and Statistics, Changshu Institute of Technology. School of Mathematics and Science, Soochow University

Received:2004-02-24 Online:2015-12-30 Published:2020-11-19
About author:LI Shang-zhao(1982-), male, Xianju, Zhejiang, a lecturer of Changshu Institute of Technology, Ph.D., engages in groups and algebraic combinatorics.
Supported by:
Supported by the National Natural Science Foundation of China(11271208,11471054)； Supported by the Graduate Students’Scientific Research Innovation Project of Jiangsu Province Ordinary University(KYLX1213)；

摘要/Abstract

摘要： This paper is a contribution to the study of the automorphism groups of 2-（v, k, 1） designs. Let D be a 2-（v, 23, 1） design and G a block-transitive and point-primitive group of automorphism of D. Then the socle of G is not Sz（q） and²G₂（q）.Key words: block-transitive; point-primitive; design; socle

关键词: block-transitive, point-primitive, design, socle

Abstract: This paper is a contribution to the study of the automorphism groups of 2-（v, k, 1） designs. Let D be a 2-（v, 23, 1） design and G a block-transitive and point-primitive group of automorphism of D. Then the socle of G is not Sz（q） and²G₂（q）.Key words: block-transitive; point-primitive; design; socle

Key words: block-transitive, point-primitive, design, socle

中图分类号:

O152.1

李上钊. 2 -（v,23,1）设计的传递自同构群[J]. 数学季刊, 2015, 30(4): 579-586.

LI Shang-zhao. The Group of Automorphisms of Transitive 2 - (v; 23; 1) Designs[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(4): 579-586.

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2 -（v,23,1）设计的传递自同构群

The Group of Automorphisms of Transitive 2 - (v; 23; 1) Designs

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