Journal ArticleDOI
Topological pseudo-ovals, elation laguerre planes, and elation generalized quadrangles
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This article is published in Mathematische Zeitschrift.The article was published on 1994-05-01. It has received 23 citations till now. The article focuses on the topics: Laguerre polynomials.read more
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Book ChapterDOI
Linear Topological Geometries
Theo Grundhöfer,Rainer Löwen +1 more
TL;DR: The notion of a topological projective plane was introduced and studied systematically by Skornjakov, Salzmann and Freudenthal as discussed by the authors, which includes complex and quaternion projective spaces, as well as the octonion plane.
Book ChapterDOI
Chapter 24 - Topological Circle Geometries
TL;DR: In this article, the authors focus on topological circle geometries and give an axiomatization of the geometry of Euclidean lines and hyperbolae with given direction of asymptotes.
Journal ArticleDOI
Finite elation Laguerre planes admitting a two-transitive group on their set of generators
TL;DR: In this article, it was shown that a finite elation Laguerre plane is Miquelian if its automorphism group is two-transitive on the set of generators.
Posted Content
Exending pseudo-arcs in odd characteristic
TL;DR: In this paper, it was shown that the Ahrens-Szekeres GQ is obtained from a pseudo-arc of size $q^n+1$ in the pseudo-conic model.
Journal ArticleDOI
A geometric characterization of elation Laguerre planes
TL;DR: In this paper, it was shown that a Laguerre plane is an elation Laguers if and only if it satisfies a weak form of the Miquel theorem.
References
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Book ChapterDOI
Projectivities and the Geometric Structure of Topological Planes
TL;DR: In this paper, the von Staudt type theorems for projectivities and bundle involutions of topological affine, projective and circle planes were proved for topological transformation groups.