Alternating groups \(A_{n}\) and 2-\((v,k,1)\) designs.

DOI10.1016/j.jcta.2003.08.006zbMath1039.05016OpenAlexW1975969850MaRDI QIDQ1427008

Hui-Ling Li

Publication date: 14 March 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2003.08.006

zbMATH Keywords

DesignAutomorphismAlternating group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (3)

Unsolvable block transitive automorphism groups of \(2\)-\((v,5,1)\) designs ⋮ Alternating groups and point‐primitive linear spaces with number of points being squarefree ⋮ Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12

Cites Work

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• Geometric ABA-groups
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Line-primitive groups of small rank
• Most block-transitive t-designs are point-primitive
• Line-primitive automorphism groups of finite linear spaces
• On the orbits of collineation groups

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