A classification of flag-transitive 2-designs with \(\lambda \geq (r,\lambda)^2\) and sporadic socle

DOI10.1016/J.DISC.2016.11.025zbMath1355.05282OpenAlexW2569427922MaRDI QIDQ507481

Shenglin Zhou, Xiaoqin Zhan

Publication date: 6 February 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2016.11.025

zbMATH Keywords

2-designflag-transitivesoclesporadic simple group

Mathematics Subject Classification ID

Other designs, configurations (05B30) Group actions on combinatorial structures (05E18)

Related Items (4)

Flag-transitive automorphism groups of 2-designs with λ ≥ (r, λ)^2 and an application to symmetric designs ⋮ Alternating groups and flag-transitive non-symmetric \(2\)-\((v,k, \lambda )\) designs with \(\lambda \geq (r, \lambda )^2\) ⋮ Flag-transitive non-symmetric 2-designs with \((r, \lambda)=1\) and exceptional groups of Lie type ⋮ Block‐transitive automorphism groups of 2‐(v,k,λ) $(v,k,\lambda )$ designs with (r,k)=1 $(r,k)=1$

Uses Software

• GAP
• Magma

Cites Work

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• Sporadic groups and flag-transitive triplanes
• Flag-transitivity and primitivity
• The Magma algebra system. I: The user language
• Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle.
• Explicit representations of maximal subgroups of the Monster.
• Flag-transitive automorphism groups of 2-designs with λ ≥ (r, λ)^2 and an application to symmetric designs
• Sporadic groups and automorphisms of linear spaces
• Flag‐Transitive 2‐ Symmetric Designs with Sporadic Socle

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