Homologies and elations in compact, connected projective planes

DOI10.1016/0166-8641(81)90029-8zbMath0446.51010OpenAlexW1964113470MaRDI QIDQ1145894

Hermann Hähl

Publication date: 1981

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-41213

zbMATH Keywords

homologyelation

Mathematics Subject Classification ID

Related Items (17)

Large automorphism groups of 8-dimensional projective planes are Lie groups ⋮ Four-dimensional compact projective planes with collineation group \(N_{6,28}\) ⋮ 4-dimensionale projektive Ebenen mit großer abelscher Kollineationsgruppe. (Four-dimensional projective planes with large abelian collineation group) ⋮ \(SU_ 2\mathbb{H}\) as the collineation group of sixteen dimensional locally compact translation planes ⋮ 4-dimensional compact projective planes with a 5-dimensional nilradical ⋮ Four-dimensional compact projective planes with two fixed points ⋮ Eine Klasse von achtdimensionalen lokalkompakten Translationsebenen mit großen Scherungsgruppen ⋮ Central collineations and the parallel axiom in stable planes ⋮ Compact 16-dimensional projective planes with large collineation groups ⋮ Orbits in 4-dimensional compact projective planes ⋮ Sixteen-dimensional locally compact translation planes with collineation groups of dimension at least 38 ⋮ The elation group of a 4-dimensional Laguerre plane ⋮ 4-dimensionale projektive Ebenen vom Lenz-Barlotti-Typ II.2. (Four- dimensional projective planes of Lenz-Barlotti type II.2.) ⋮ Four-dimensional compact projective planes of orbit type (1,1) ⋮ Stable planes with isotropic points ⋮ Helmut Salzmann and his legacy ⋮ Multigroups and the foundations of geometry

Cites Work

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• Homogene kompakte projektive Ebenen
• Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen
• Vierdimensionale stabile Ebenen
• Topological planes
• Kollineationsgruppen kompakter, vier-dimensionaler Ebenen
• Über Perspektivitäten in endlichen projektiven Ebenen
• Über den Zusammenhang in topologischen projektiven Ebenen
• The Monotone Union of Open n-Cells is an Open n-Cell
• Elations in four-dimensional planes
• Fixed-Point Theorems for Periodic Transformations
• The Fundamental Theorems of Elementary Geometry. An Axiomatic Analysis
• Kompakte zweidimensionale projektive Ebenen
• Kompakte zweidimensionale projektive Ebenen

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