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<p>In this article, we study symmetric designs <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1889_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal {D}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">D</mi> </math></EquationSource> </InlineEquation> with <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1889_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation> at most 100 admitting flag-transitive and point-primitive almost simple automorphism group <i>G</i> with socle <i>X</i> being a projective special linear groups of dimension at least 2. We, in particular, determine all such possible designs.</p>

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A Classification of Flag-Transitive Symmetric Designs with \(\lambda \) at Most 100

  • 期刊论文

  • 发表日期：

    2025年5月20日

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  • Mohsen Bayat

摘要

In this article, we study symmetric designs \(\mathcal {D}\) D with \(\lambda \) λ at most 100 admitting flag-transitive and point-primitive almost simple automorphism group G with socle X being a projective special linear groups of dimension at least 2. We, in particular, determine all such possible designs.