Finite affine planes of rank three are translation planes

DOI10.1007/BF01109955zbMath0197.16802OpenAlexW1970250488MaRDI QIDQ2539743

Robert A. Liebler

Publication date: 1970

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171374

zbMATH Keywords

foundations of geometry

Related Items (14)

Finite linear spaces with flag-transitive groups ⋮ The classification of distance-transitive graphs of type \(q.K_{q,q}\) ⋮ 2-\((v,k,1)\) designs with a point-primitive rank 3 automorphism group of affine type ⋮ Rank Three Affine Planes ⋮ The non-solvable rank 3 affine planes ⋮ Transitive collineation groups on affine planes ⋮ Strongly regular graphs ⋮ Finite translation planes, an exposition ⋮ Translation planes admitting solvable rank 3 collineation groups ⋮ Distance-transitive graphs of type \(q.K_{q,q}\) and projective planes ⋮ A class of rank three affine planes ⋮ Imprimitive distance-regular graphs and projective planes ⋮ Affine Ebenen, in denen der Stabilisator jeder Geraden zweifach transitiv ist ⋮ Translation planes of order \(q^ 3\) which admit SL(2,q)

Cites Work

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• On projective and affine planes with transitive collineation groups
• On finite affine line transitive planes
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Finite Fano Planes
• Double Transitivity In Finite Projective Planes
• On finite affine planes of rank 3
• On finite affine planes of rank 3

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