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2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q)

Combinatorics 2025-12-25 v1 Group Theory
Authors: Hongxue Liang , Zhihui Liu , Alessandro Montinaro
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Abstract

In this paper, we completely classify the non-trivial 2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q).

Keywords

2-design flag-transitive almost simple group automorphism group socle PSL(2,q) classification

Cite

@article{arxiv.2512.21143,
  title  = {2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q)},
  author = {Hongxue Liang and Zhihui Liu and Alessandro Montinaro},
  journal= {arXiv preprint arXiv:2512.21143},
  year   = {2025}
}

Comments

15 pages

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