Flag-transitive block designs and finite simple exceptional groups of Lie type

DOI10.1007/s00373-020-02161-0zbMath1442.05023arXiv1908.05831OpenAlexW3015917905WikidataQ115388071 ScholiaQ115388071MaRDI QIDQ2191260

Seyed Hassan Alavi

Publication date: 24 June 2020

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05831

zbMATH Keywords

automorphism groupflag-transitivepoint-primitiveblock designlarge subgroupfinite simple exceptional group

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) Finite simple groups and their classification (20D05)

Related Items (8)

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 ⋮ Flag-transitive block designs with prime replication number and almost simple groups ⋮ Classification of the non-trivial \(2\)-\((k^2,k, \lambda )\) designs, with \(\lambda |k\), admitting a flag-transitive almost simple automorphism group ⋮ A classification of flag-transitive \(2\)-\((k^2, k, \lambda)\) designs with \(\lambda\mid k\) ⋮ Unnamed Item ⋮ Flag-transitive block designs and unitary groups

Uses Software

• GAP

Cites Work

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