On the structure of finite elation Laguerre planes

DOI10.1007/BF01258517zbMath0737.51003MaRDI QIDQ1176188

Günter F. Steinke

Publication date: 25 June 1992

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

zbMATH Keywords

automorphismelation groupkernelLaguerre planeovoidal planes

Mathematics Subject Classification ID

Laguerre geometries (51B15)

Related Items (9)

Generalized quadrangles, Laguerre planes and shift planes of odd order ⋮ Topological pseudo-ovals, elation Laguerre planes, and elation generalized quadrangles ⋮ Generalized cones and Laguerre planes ⋮ On elation Laguerre planes with a two-transitive orbit on the set of generators ⋮ Laguerre geometries and some connections to generalized quadrangles ⋮ Unnamed Item ⋮ Extending pseudo-arcs in odd characteristic ⋮ Pseudo-ovals in even characteristic and ovoidal Laguerre planes ⋮ Simple groups acting two-transitively on the set of generators of a finite elation Laguerre plane

Cites Work

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• Translation planes of order \(q^ 2\) that admit a collineation group of order \(q^ 2\)
• A structure theory for two-dimensional translation planes of order \(q^2\) that admit collineation groups of order \(q^2\)
• Eine Klassifikation der Laguerre-Ebenen nach L-Streckungen und L- Translationen
• The elation group of a 4-dimensional Laguerre plane
• A class of translation planes
• Laguerre planes of even order and translation ovals
• On 4-gonal configurations
• Transitivitaetsaetze für Laguerre-Ebenen
• 4-dimensionale Translationsebenen mit 8-dimensionaler Kollineationsgruppe
• Eine Bemerkung über endliche Laguerre- und Minkowski-Ebenen
• Characterization of ovoidal Laguerre planes
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Ovals In a Finite Projective Plane

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