4-dimensionale projektive Ebenen mit großer abelscher Kollineationsgruppe. (Four-dimensional projective planes with large abelian collineation group)

DOI10.1007/BF01222391zbMath0644.51011OpenAlexW2064826608MaRDI QIDQ1102541

Norbert Knarr

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01222391

zbMATH Keywords

abelian collineation groupcompact 4-dimensional topological projective plane

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Topological geometries on manifolds (51H20) Non-Desarguesian affine and projective planes (51A35)

Related Items (6)

4-dimensional compact projective planes with a 5-dimensional nilradical ⋮ Point-regular geometries ⋮ Orbits in 4-dimensional compact projective planes ⋮ Quaternion Hermitian planes ⋮ 4-dimensionale projektive Ebenen vom Lenz-Barlotti-Typ II.2. (Four- dimensional projective planes of Lenz-Barlotti type II.2.) ⋮ Polarities of shift planes

Cites Work

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• Komplexe Schiefparabel-Ebenen
• Topologische Doppelloops
• Ein komplexer Neokörper ohne reellen Unterneokörper
• Homologies and elations in compact, connected projective planes
• Hurwitzsche Ternärkörper
• Über Bahnen lokal kompakter Gruppen auf Flächen
• Topological planes
• Kollineationsgruppen kompakter, vier-dimensionaler Ebenen
• 4-dimensional projective planes of Lenz type III
• Neofields
• Elations in four-dimensional planes

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