JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (6): 64-73.doi: 10.6040/j.issn.1671-9352.0.2021.565

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Simple 3-designs of PSL(2,2n)with block size 9

WEI Meng-meng1, LI Wei-xia1*, XING Jian-min2   

  1. 1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China;
    2. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, Shandong, China
  • Published:2022-06-10

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Abstract: The number of the orbits of 9-subsets is determined by the action of PSL(2,2n)on 9-subsets of the projective line. Consequently, all simple 3-designs with block size 9 are obtained, under the action of PSL(2,2n).

Key words: 3-design, projective special linear group, automorphism group

CLC Number: 

  • O157.2
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