Die Oktavenebene als Translationsebene mit großer Kollineationsgruppe. (The Cayley plane as a translation plane with a large collineation group)
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Publication:582572
DOI10.1007/BF01295287zbMath0691.51007OpenAlexW3149756938MaRDI QIDQ582572
Publication date: 1988
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/178405
collineation16-dimensional locally compact topological translation planeclassification of compact projective planes
Translation planes and spreads in linear incidence geometry (51A40) Topological linear incidence structures (51H10)
Related Items (6)
Actions of almost simple groups on compact eight-dimensional projective planes are classical, almost ⋮ \(SU_ 2\mathbb{H}\) as the collineation group of sixteen dimensional locally compact translation planes ⋮ Sixteen-dimensional locally compact translation planes with collineation groups of dimension at least 38 ⋮ Quaternion Hermitian planes ⋮ Helmut Salzmann and his legacy ⋮ Multigroups and the foundations of geometry
Cites Work
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- Sechzehndimensionale lokalkompakte Translationsebenen mit Spin(7) als Kollineationsgruppe. (Sixteen-dimensional locally compact translation planes with Spin(7) as their collineation group)
- Lokalkompakte zusammenhängende Translationsebenen mit großen Sphärenbahnen auf der Translationsachse
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- Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen
- On the kernel and the nuclei of 8-dimensional locally compact quasifields
- Zur Klassifikation von 8- und 16-dimensionalen lokalkompakten Translationsebenen nach ihren Kollineationsgruppen
- Compact 16-dimensional projective planes with large collineation groups. II
- Topological planes
- Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
- Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
- Compact 16-Dimensional Projective Planes with Large Collineation Groups. IV
- Some remarks about Lie groups transitive on spheres and tori
- A Class of Transformation Groups in E n
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