Sechzehndimensionale lokalkompakte Translationsebenen mit Spin(7) als Kollineationsgruppe. (Sixteen-dimensional locally compact translation planes with Spin(7) as their collineation group)
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Publication:1100439
DOI10.1007/BF01195360zbMath0639.51017OpenAlexW3193455993MaRDI QIDQ1100439
Publication date: 1987
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01195360
Translation planes and spreads in linear incidence geometry (51A40) Topological linear incidence structures (51H10) Near-fields (12K05)
Related Items (8)
Transitive groups of similitudes generated by octonions ⋮ Shear planes ⋮ Differentiable fibrations of the (2n-1)-sphere by great (n-1)-spheres and their coordinatization over quasifields ⋮ \(SU_ 2\mathbb{H}\) as the collineation group of sixteen dimensional locally compact translation planes ⋮ The geometry of double loops ⋮ Polarities and planar collineations of Moufang planes ⋮ Die Oktavenebene als Translationsebene mit großer Kollineationsgruppe. (The Cayley plane as a translation plane with a large collineation group) ⋮ Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35
Cites Work
- Achtdimensionale lokalkompakte Translationsebenen mit mindestens 17- dimensionaler Kollineationsgruppe. (Eight-dimensional locally compact translation planes with at least 17-dimensionally collineation group)
- Achtdimensionale lokalkompakte Translationsebenen mit großen kompakten Kollineationsgruppen
- 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
- Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
- Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
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