The automorphism group of Laguerre planes. (Complement to: The automorphism group of locally compact connected topological Benz planes)

DOI10.1007/BF00147530zbMath0593.51015OpenAlexW2161921811MaRDI QIDQ1076341

Günter F. Steinke

Publication date: 1986

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147530

zbMATH Keywords

automorphism groupstopological geometrytopological Benz planesautomorphism group of Laguerre planeslocally compact connected circle planes have locally compactlocally compact connected circle planes have locally compact automorphism groups

Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) Topological nonlinear incidence structures (51H15)

Related Items (10)

A new family of 2-dimensional Laguerre planes that admit \(\mathrm{PSL}_2(\mathbb{R}) \times \mathbb{R}\) as a group of automorphisms ⋮ Topological pseudo-ovals, elation Laguerre planes, and elation generalized quadrangles ⋮ A FAMILY OF TWO-DIMENSIONAL LAGUERRE PLANES OF KLEINEWILLINGHÖFER TYPE II.A.2 ⋮ Semiclassical topological flat Laguerre planes obtained by pasting along two parallel classs ⋮ The elation group of a 4-dimensional Laguerre plane ⋮ A characterization of certain elation Laguerre planes in terms of Kleinewillinghöfer types ⋮ Sisters of some 4-dimensional elation Laguerre planes of group dimension 10 ⋮ A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes ⋮ A classification of 4-dimensional elation Laguerre planes of group dimension 10 ⋮ 4-dimensional point-transitive groups of automorphisms of 2-dimensional Laguerre planes

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