Some infinite families of 2‐designs from PG (n, q)

DOI10.1002/jcd.21635zbMath1407.05033OpenAlexW2895544370MaRDI QIDQ4629519

Suyun Ding, Xiaoqin Zhan

Publication date: 27 March 2019

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21635

zbMATH Keywords

automorphism group2-designflag-transitiveprojective geometry

Mathematics Subject Classification ID

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

Related Items (1)

Infinite families of 2-designs from a class of affine-invariant codes

Cites Work

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• Geometric ABA-groups
• Homogeneous designs and geometric lattices
• Linear spaces with flag-transitive automorphism groups
• Biplanes with flag-transitive automorphism groups of almost simple type, with exceptional socle of Lie type.
• Exceptional groups of Lie type and flag-transitive triplanes
• Sporadic groups and flag-transitive triplanes
• Finite classical groups and flag-transitive triplanes
• Doubly homogeneous \(2\text{-}(v,k,1)\) designs
• On primitivity and reduction for flag-transitive symmetric designs
• Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle.
• Affine groups and flag-transitive triplanes
• Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
• Alternating groups and flag-transitive triplanes
• 2-Transitive Symmetric Designs

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