On flag-transitive \(2\)-\((v,k,2)\) designs

DOI10.1016/j.jcta.2020.105309zbMath1448.05027arXiv2001.04728OpenAlexW3080859540MaRDI QIDQ2005188

Alice Devillers, Binzhou Xia, Cheryl E. Praeger, Hongxue Liang

Publication date: 7 October 2020

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04728

zbMATH Keywords

primitive permutation groupflag-transitive designpoint-imprimitive designprojective linear group\(2\)-designAschbacher classification of finite linear groups

Mathematics Subject Classification ID

Other designs, configurations (05B30) Symmetric groups (20B30)

Related Items (12)

A classification of flag-transitive block 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 ⋮ Delandtsheer-Doyen parameters for block-transitive point-imprimitive 2-designs ⋮ Analysing flag-transitive point-imprimitive 2-designs ⋮ Classification of the non-trivial \(2\)-\((k^2,k, \lambda )\) designs, with \(\lambda |k\), admitting a flag-transitive almost simple automorphism group ⋮ Block-transitive 2-designs with a chain of imprimitive point-partitions ⋮ Flag-transitive and point-imprimitive designs with wreath product ⋮ A classification of flag-transitive \(2\)-\((k^2, k, \lambda)\) designs with \(\lambda\mid k\) ⋮ Correction to: ``Flag-transitive block designs and unitary groups ⋮ More Fibonacci-Bernoulli relations with and without balancing polynomials ⋮ Unnamed Item

Uses Software

• Magma

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