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<p>In this paper, we study nontrivial symmetric (<i>v</i>,&#xa0;<i>k</i>,&#xa0;4) designs admitting a flag-transitive and point-primitive affine automorphism group. In conclusion, all symmetric (<i>v</i>,&#xa0;<i>k</i>,&#xa0;4) designs admitting flag-transitive automorphism groups are known apart from those admitting one-dimensional automorphisms, and hence the classification of flag-transitive symmetric (<i>v</i>,&#xa0;<i>k</i>,&#xa0;4) designs reduces to the case of one-dimensional affine automorphism groups.</p>

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On flag-transitive symmetric (v, k, 4) designs

  • 期刊论文

  • 发表日期：

    2025年5月11日

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  • Seyed Hassan Alavi

摘要

In this paper, we study nontrivial symmetric (v, k, 4) designs admitting a flag-transitive and point-primitive affine automorphism group. In conclusion, all symmetric (v, k, 4) designs admitting flag-transitive automorphism groups are known apart from those admitting one-dimensional automorphisms, and hence the classification of flag-transitive symmetric (v, k, 4) designs reduces to the case of one-dimensional affine automorphism groups.