A characterization of the Desarguesian planes of order by .
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A geometrical characterization of the projective plane of order
Andrzej Lewandowski, Hanna Makowiecka (1979)
Časopis pro pěstování matematiky
About projective planes over weakly distributive skew-fields and systems.
Khubezhty, I.A. (2000)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
An axiom system for the class of groups of dilatations in Fano-Pappian affine planes
Malgorzata Grochowska (1987)
Colloquium Mathematicae
Büschel in äquiaffinen Räumen
S. KLOTH (1980)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Central Automorphisms of Veblenian Nearaffine Planes
Kinga Cudna-Lasecka, Jan Jakóbowski (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
The paper deals with nearaffine planes described by H. A. Wilbrink. We consider their central automorphisms, i.e. automorphisms satisfying the Veblen condition, which become central collineations in connected projective planes. Moreover, a concept of central pseudo-automorphism is considered, i.e. some bijections in a nearaffine plane are not automorphisms but they become central collineations in the related projective planes.
Constructive Coordinatization of Desarguesian Planes.
Mandelkern, Mark (2007)
Beiträge zur Algebra und Geometrie
Coordinate free definitions of cross ratio.
J. Simonis, J. de van de Craats (1985)
Elemente der Mathematik
Der Satz von v. Staudt-Schleiermacher in Minkowski-Ebenen.
Martin Funk (1982)
Monatshefte für Mathematik
Durch Kollineationsgruppen bestimmte projektive Räume
H. Havlicek (1988)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Ein gruppentheoretischer Aufbau der räumlichen äquiaffinen Geometrie unter Verwendung von Scherungen
S. KLOTH, E. Pahlisch (1987)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Eine Verallgemeinerung des Satzes von Dandelin.
A. Herzer (1972)
Elemente der Mathematik
Elementary versions of the Sylvester-Gallai theorem.
Pambuccian, Victor (2008)
Beiträge zur Algebra und Geometrie
Entartete Steinerkegelschnitte in nichtpapposschen Desarguesebenen.
Rolf Riesinger (1980)
Monatshefte für Mathematik
Extending Nearaffine Planes to Hyperbola Structures
Kinga Cudna-Salmanowicz, Jan Jakóbowski (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.
Extension of Collineations Defined on Certain Sets of a Desarguesian Projective Plane
B. ORBÁN (1971)
Aequationes mathematicae
Flocks in PG(3, q).
J. Chris Fisher, Joseph A. Thas (1979)
Mathematische Zeitschrift
Gruppentheoretische Charakterisierungen klassischer desarguesscher und moultonscher Ebenen.
Karl Strambach (1971)
Journal für die reine und angewandte Mathematik
Gruppentheoretische Kennzeichnung Pappusscher affiner Ebenen von Charakteristik ... 2.
Udo Ott (1971)
Journal für die reine und angewandte Mathematik
Homogene 4-dimensionale affine Ebenen.
Helmut Salzmann (1972)
Mathematische Annalen
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