Sharply \(2\)-transitive sets of permutations and groups of affine projectivities.

zbMath1165.20002MaRDI QIDQ1005906

Peter Müller, Theo Grundhöfer

Publication date: 16 March 2009

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227580

zbMATH Keywords

symmetric groupspermutation groupsalternating groupsaffine planesMathieu groupsalmost simple subgroupsgroups of affine projectivitiessharply transitive sets of permutations

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Subgroups of symmetric groups (20B35) Multiply transitive finite groups (20B20)

Related Items (3)

\(r\)-regular families of graph automorphisms ⋮ The automorphism groups of doubly transitive bilinear dual hyperovals ⋮ The non-existence of sharply 2-transitive sets of permutations in \(\mathrm {Sp}(2d,2)\) of degree \(2^{2d-1}\pm 2^{d-1}\)

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