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Flag-Transitive 2-Designs and Mathieu Group M12

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  • Delu Tian
  • Zhilin Zhang
  • Yajie Wang

Abstract

In this paper, we announce the completion of the search for all flag-transitive point-primitive nontrivial 2-designs with M12 as the socle of their automorphism groups, and we discover that there are exactly nine of these nonisomorphic 2-designs. This paper enriches the classification of 2-designs and provides valuable references for addressing the classification of designs under the action of other simple groups.

Suggested Citation

  • Delu Tian & Zhilin Zhang & Yajie Wang, 2025. "Flag-Transitive 2-Designs and Mathieu Group M12," Journal of Mathematics, Hindawi, vol. 2025, pages 1-7, August.
    • Handle: RePEc:hin:jjmath:2866118
    DOI: 10.1155/jom/2866118
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