April 3, 2024Open Access

A Classification of the flag-transitive 2- (v, 3, ) designs with with v 1, 36 and v 6

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Abstract

In this paper, we provide a complete classification of the 2- (v, 3, ) designs with v 1, 36 and % v 6 admitting a flag-transitive automorphism group non-isomorphic to a subgroup of A L₁ (v).

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Francot et al. (Wed,) studied this question.

synapsesocial.com/papers/68e70a05b6db643587683bff https://doi.org/https://doi.org/10.48550/arxiv.2404.02488

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4Analysing 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)$2024
5Flag-Transitive 2-<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"><a:mfenced open="(" close=")" separators="|"><a:mrow><a:mi>v</a:mi><a:mo>,</a:mo><a:mn>5</a:mn><a:mo>,</a:mo><a:mi>λ</a:mi></a:mrow></a:mfenced></a:math> Designs Admitting a Two-Dimensional Projective Group2024

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