Semi-Translation Planes

DOI10.2307/1993665zbMath0117.37303OpenAlexW4250814369MaRDI QIDQ5728025

Theodore G. Ostrom

Publication date: 1964

Full work available at URL: https://doi.org/10.2307/1993665

zbMATH Keywords

foundations of geometry, non-Euclidean geometry

Related Items

Some inherited maximal arcs in derived dual translation planes ⋮ Derived semifield planes of odd order admitting a dihedral group of affine homologies ⋮ Finite planes with a single (p, L) transitivity ⋮ Zur affinen Einführung der Hughes-Ebenen ⋮ A characterization of generalized Hall planes ⋮ The existence of Fano subplanes in generalized Hall planes ⋮ Subplanes of a translation plane ⋮ Piani di traslazione derivabili ⋮ The derivation of dual translation planes ⋮ Translation planes and derivation sets ⋮ Commutative semifields, two dimensional over their middle nuclei ⋮ Baer subplanes and Baer collineations of derivable projective planes ⋮ Quantitative axioms for finite affine planes ⋮ Eine Kennzeichnung der endlichen desarguesschen Hjelmslev-Ebenen ⋮ Finite translation planes, an exposition ⋮ Translation planes of characteristic two in which all involutions are Baer ⋮ Koordinatenbereiche von Semitranslationsebenen ⋮ Quasiregular collineation groups of finite projective planes ⋮ Kreishomogene endliche Möbiusebenen ⋮ Vector spaces and construction of finite projective planes ⋮ The orbit structure of collineation groups of finite projective planes ⋮ Coordinate Systems of Some Semi-Translation Planes ⋮ Derivable nets and 3-dimensional projective spaces ⋮ Die cartesischen Gruppen der Ostrom-Rosati-Ebenen ⋮ The dual Lüneburg planes ⋮ Nondistrict semi-translation planes ⋮ On finite affine planes of rank 3 ⋮ Una caratterizzazione dei piani affini finiti ⋮ On nonstrict semi-translation planes of Lenz-Barlotti class I-1 ⋮ Gruppenerhaltende quadratische Erweiterungen endlicher desarguescher projektiver Ebenen ⋮ Linear representation of a class of projective planes in a four dimensional projective space ⋮ Derived translation planes admitting affine elations ⋮ Bruen chains over fields of small order ⋮ Spreads and a conjecture of Bruck and Bose ⋮ On point-transitive affine planes ⋮ Derived semifield planes with affine elations ⋮ Elations in translation planes of order 16 ⋮ Representations of \(SL(2,4)\) on translation planes of even order ⋮ Maximal partial spreads and translation nets of small deficiency ⋮ Transformation of incidence structures and sharply multiply transitive permutation sets ⋮ Charakterisierung der kompakten, zusammenhängenden Moufang-Hughes- Ebenen anhand ihrer Kollineationen ⋮ A note on affine subspaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Translation planes and configurations in Desarguesian planes
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Finite Fano Planes
• A Class of Non-Desarguesian Projective Planes
• Affine Ebenen mit genügend vielen Translationen. Hermann Ludwig Schmid zum Gedenken
• On Collineations of Symmetric Designs
• A Class of Non-Desarguesian Affine Planes
• Projective Planes