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Block transitive 2−(v,k,1) designs and PGL2(q) groups

Author

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  • Tang, Jianxiong
  • Yang, Chaohui
  • Li, Shangzhao
  • Dai, Shaojun
  • Liu, Weijun

Abstract

The article mainly deal with the block-transitive automorphism groups of 2−(v,k,1) designs. Let G=PGL2(q) for q a power of an odd prime number. We prove that if G acts block-transitively on a non-trivial 2−(v,k,1) design D then D is either a projective plane or 2−(136,10,1) design.

Suggested Citation

  • Tang, Jianxiong & Yang, Chaohui & Li, Shangzhao & Dai, Shaojun & Liu, Weijun, 2020. "Block transitive 2−(v,k,1) designs and PGL2(q) groups," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    • Handle: RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300320300035
    DOI: 10.1016/j.amc.2020.125034
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    References listed on IDEAS

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    1. Li, Shangzhao & Liu, Weijun & Li, Xianhua, 2019. "2−(v,k,1) designs admitting automorphism groups with socle Sz(q)," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 153-161.
    2. Li, Shangzhao & Liu, Weijun & Li, Xianhua, 2017. "On the automorphisms of 2−(v,k,1) designs," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 120-127.
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    More about this item

    Keywords

    Block-transitive; 2-design; PGL2(q) group;
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