Flag-transitive 2-(v,k,λ) designs with λ prime and alternating socle

DOI10.1142/S0219498824500804OpenAlexW4310272932MaRDI QIDQ6183992

Shenglin Zhou, Jianfu Chen, Yongli Zhang

Publication date: 24 January 2024

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

Full work available at URL: https://doi.org/10.1142/s0219498824500804

zbMATH Keywords

primitivityflag-transitivity\(2\)-design

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 (1)

Reduction for flag‐transitive point‐primitive 2‐(v, k, λ) designs with λ prime

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flag-transitive point-primitive non-symmetric \(2\text{-}(v,k,2)\) designs with alternating socle
• Flag-transitive \(2-(v,k,\lambda )\) symmetric designs with \((k,\lambda)=1\) and alternating socle
• Linear spaces with flag-transitive automorphism groups
• Finite linear spaces with flag-transitive groups
• Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle.
• Reduction for primitive flag-transitive symmetric \(2\)-\(( v , k , \lambda )\) designs with \(\lambda\) prime
• Flag-transitive non-symmetric 2-designs with \((r,\lambda)=1\) and alternating socle
• Alternating groups and flag-transitive triplanes
• The Primitive Permutation Groups of Odd Degree

This page was built for publication: Flag-transitive 2-(v,k,λ) designs with λ prime and alternating socle