Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (4): 579-586.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.011

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

  

  1. 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);

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) and 2G2(q).Key words: block-transitive; point-primitive; design; socle 

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

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