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Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups

✍ Scribed by Sheng-lin Zhou; De-lu Tian

Book ID: 107501024
Publisher: SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year: 2011
Tongue: English
Weight: 169 KB
Volume: 26
Category: Article
ISSN: 1005-1031
DOI: 10.1007/s11766-011-2702-x

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Alternating groups and flag-transitive 2-(v, k, 4) symmetric designs

✍ Huili Dong; Shenglin Zhou 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 129 KB

In this article, we study the classification of flag-transitive, point-primitive 2-(v, k, 4) symmetric designs. We prove that if the socle of the automorphism group G of a flag-transitive, point-primitive nontrivial 2-(v, k, 4) symmetric design D is an alternating group A n for n ≥ 5, then (v, k) =