4-dimensional point-transitive groups of automorphisms of 2-dimensional Laguerre planes

DOI10.1007/BF03322341zbMath0787.51012OpenAlexW2085212368MaRDI QIDQ1311035

Günter F. Steinke

Publication date: 15 May 1994

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322341

zbMATH Keywords

classification2-dimensional Laguerre planes3-dimensional generalised quadranglespoint-transitive group of automorphisms

Mathematics Subject Classification ID

Topological nonlinear incidence structures (51H15) Laguerre geometries (51B15)

Related Items (4)

A new family of 2-dimensional Laguerre planes that admit \(\mathrm{PSL}_2(\mathbb{R}) \times \mathbb{R}\) as a group of automorphisms ⋮ Flat Laguerre planes admitting 4-dimensional groups of automorphisms that fix a parallel class ⋮ On the Kleinewillinghöfer types of flat Laguerre planes ⋮ Flat Laguerre planes admitting 4-dimensional groups of automorphisms that fix at least two parallel classes

Cites Work

• Unnamed Item
• Geometric ABA-groups
• The automorphism group of locally compact connected topological Benz planes
• The automorphism group of Laguerre planes. (Complement to: The automorphism group of locally compact connected topological Benz planes)
• Topologische Ovale
• Point homogeneous flat affine planes
• On the structure of the automorphism group of 2-dimensional Laguerre planes
• Two-dimensional Laguerre planes with large automorphism groups
• Topological planes
• Topologische Laguerreebenen. I
• Characterization of ovoidal Laguerre planes
• Topologische Laguerreebenen, II
• Dimension der Bahnen lokal kompakter Gruppen

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