Flag-Transitive Point-Primitive Automorphism Groups of Nonsymmetric 2−(v,k,2) Designs

DOI10.1002/jcd.21516zbMath1348.05046OpenAlexW2424122030MaRDI QIDQ2831135

Hongxue Liang, Shenglin Zhou

Publication date: 2 November 2016

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

Full work available at URL: https://doi.org/10.1002/jcd.21516

zbMATH Keywords

flag-transitiveprimitive groupsporadic groupnonsymmetric design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Other designs, configurations (05B30)

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Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

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• Linear spaces with flag-transitive automorphism groups
• Reduction for primitive flag-transitive \((v, k, 4)\)-symmetric designs
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Flag-transitivity and primitivity
• Flag transitive automorphism groups of 2-designs with \((r,\lambda)=1\)
• The Magma algebra system. I: The user language
• On primitivity and reduction for flag-transitive symmetric designs
• Explicit representations of maximal subgroups of the Monster.
• The primitive permutation groups of degree less than 2500.
• Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100
• On some Theorems in Combinatorics Relating to Incomplete Block Designs

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