Some recent applications of functional equations to geometry

DOI10.1007/BF02150267zbMath0228.50034OpenAlexW2060515088MaRDI QIDQ2549882

János Aczél

Publication date: 1971

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02150267

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Functional equations and inequalities (39B99) Non-Desarguesian affine and projective planes (51A35)

Cites Work

• Darstellung nicht-injektiver Kollineationen eines projektiven Raumes durch verallgemeinerte semilineare Abbildungen
• Kollineationen auf Drei-und Vierecken in der Desarguesschen projektiven Ebene und Äquivalenz der Dreiecksnomogramme und der Dreigewebe von Loops mit der Isotopie-Isomorphie-Eigenschaft
• On collineations on three and on four lines in a projective plane
• Endomorphismen von ebenen Viergeweben (Beitrag zu einem Problem von J. Aczel)
• Non-injective collineations on some sets in Desarguesian projective planes and extension of non-commutative valuations
• Remarks on one-parameter subsemigroups of the affine group and their homo-and isomorphisms
• Extension of collineations defined on certain sets of a Desarguesian projective plane
• Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups
• Extension of collineations defined on subsets of a translation plane
• On the characterization of plane projective and complex MOEBIUS‐transformations
• Congruence-Preserving Isomorphisms of the Translation Group associated with a Translation Plane
• On composed Poisson distributions, I
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