Flag-transitive primitive (v, k, λ) symmetric designs with λ at most 10 and alternating socle

DOI10.1142/S021949881450025XzbMath1290.05030MaRDI QIDQ5420694

Huili Dong, Shenglin Zhou

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

symmetric designflag-transitivealternating groupprimitive

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25)

Related Items

Symmetric designs admitting flag-transitive and point-primitive almost simple automorphism groups of Lie type, Flag-transitive \(2-(v,k,\lambda )\) symmetric designs with \((k,\lambda)=1\) and alternating socle, Flag-transitive point-primitive (v, k, λ)-symmetric designs with λ at most 100 and alternating socle, Block-transitive symmetric designs and alternating groups, Symmetric designs with \(\lambda \leqslant 10\) admitting flag-transitive and point-primitive almost simple automorphism groups

Cites Work

• Unnamed Item
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Flag-transitivity and primitivity
• Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle.
• The primitive permutation groups of degree less than 2500.
• Alternating groups and flag-transitive triplanes
• Primitive symmetric designs with up to 2500 points
• Endliche Gruppen I
• Primitive rank 3 groups on symmetric designs