Translation planes admitting solvable rank 3 collineation groups

DOI10.1007/BF02429903zbMath0371.50009OpenAlexW2024187360MaRDI QIDQ1243471

Michael J. Kallaher

Publication date: 1977

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02429903

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Affine analytic geometry (51N10)

Related Items (3)

2-\((v,k,1)\) designs with a point-primitive rank 3 automorphism group of affine type ⋮ The non-solvable rank 3 affine planes ⋮ 2‐(v,k,1) Designs Admitting a Primitive Rank 3 Automorphism Group of Affine Type: The Extraspecial and the Exceptional Classes

Cites Work

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• On finite line transitive affine planes
• Zweifach transitive, auflösbare Permutationsgruppen
• Über einige merkwürdige Translationsebenen
• Rang-3-Ebenen mit einer Bahn der Länge 2 auf der uneigentlichen Geraden
• Elations in finite translation planes of characteristic 3
• A note on Z-Planes
• Transitive collineation groups on affine planes
• Linear transformations and collineations of translation planes
• Finite affine planes of rank three are translation planes
• Finite translation planes
• Fixed point free linear groups, rank three planes, and Bol quasifields
• A characterization of the Lüneburg planes
• On shears of translation planes
• Endliche ableitbare affine Ebenen
• On 2-groups operating on projective planes
• On the automorphisms of the symplectic group over any field
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Projektive Ebenen über Fastkörpern
• Collineation Groups of Generalized André Planes
• Solvable Primitive Permutation Groups of Low Rank
• Homologies in Translation Planes
• The Flag-Transitive Collineation Groups of the Finite Desarguesian Affine Planes
• On finite affine planes of rank 3

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