A classification of flag-transitive block designs

DOI10.1007/s10801-021-01068-0zbMath1489.05011arXiv1911.06175OpenAlexW3204899025MaRDI QIDQ2137063

Ashraf Daneshkhah, Fatemeh Mouseli, Seyed Hassan Alavi

Publication date: 16 May 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06175

zbMATH Keywords

symmetric designautomorphism group2-designprimitive groupflag-transitive designlarge subgroup

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 (7)

Almost simple groups of Lie type and symmetric designs with \(\lambda\) prime ⋮ Finite exceptional groups of Lie type and symmetric designs ⋮ Classification of flag-transitive point-primitive non-symmetric 2-\((v, k, \lambda)\) designs with \(v < 100\) ⋮ Block designs with \(\gcd(r,\lambda)=1\) admitting flag-transitive automorphism groups ⋮ Classification of the non-trivial \(2\)-\((k^2,k, \lambda )\) designs, with \(\lambda |k\), admitting a flag-transitive almost simple automorphism group ⋮ Symmetric designs with \(\lambda \leqslant 10\) admitting flag-transitive and point-primitive almost simple automorphism groups ⋮ A classification of flag-transitive \(2\)-\((k^2, k, \lambda)\) designs with \(\lambda\mid k\)

Uses Software

• GAP

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