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arXiv · 2404.19190

Analysing 2-$(v,k,2)$ designs admitting a flag-transitive almost simple automorphism group with socle $PSL(2,q)$ by means of conics and hyperovals of $PG(2,q)$

Alessandro Montinaro·Yanwei Zhao·Zhilin Zhang·Shenglin Zhou
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Abstract

The classification of the $2$-designs with $λ=2$ admitting a flag-transitive automorphism groups with socle $PSL(2,q)$ is completed by settling the two open cases in \cite{ABDT}. The result is achieved by using conics and hyperovals of $PG(2,q)$.

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Alessandro Montinaro, Yanwei Zhao, Zhilin Zhang, Shenglin Zhou. 2024-04-30. Analysing 2-$(v,k,2)$ designs admitting a flag-transitive almost simple automorphism group with socle $PSL(2,q)$ by means of conics and hyperovals of $PG(2,q)$. https://arxiv.org/abs/2404.19190

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