Collineation groups doubly transitive on the point at infinity in an affine plane of order \(2^ r\).

DOI10.1007/BF01234397zbMath0472.51004OpenAlexW284903084WikidataQ59249348 ScholiaQ59249348MaRDI QIDQ1157776

Gábor Korchmáros

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234397

zbMATH Keywords

translation planeaffine planeshearcollineation groupdoubly transitivenondesarguesian

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25)

Related Items (9)

Subgroups generated by regular involutions of an doubly transitive B- oval ⋮ Metodi di teoria dei gruppi nello studio delle ovali dei piani proiettivi finiti ⋮ Finite Bolyai-Lobachevskii planes ⋮ Transitive groups on the line at infinity of a finite affine plane ⋮ The sets of type (0,n) and the Steiner triple systems in a finite affine plane ⋮ Affine planes admitting a collineation group with a transitive action on the line at infinity ⋮ Large doubly transitive orbits on a line ⋮ On the action of \(PSU(3,q^ 2)\) on an affine plane of order \(q^ 3\) ⋮ Doubly transitive \((n+2)\)-arcs in projective planes of even order n

Cites Work

• On involutorial elations of projective planes
• Charakterisierungen der endlichen desarguesschen projektiven Ebenen
• Über projektive Ebenen, in denen jede Fahne von einer nicht-trivialen Elation invariant gelassen wird
• On subgroups with trivial normalizer intersection
• Finite translation planes with collineation groups doubly transitive on the points at infinity

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