\(SU_ 2\mathbb{H}\) as the collineation group of sixteen dimensional locally compact translation planes

DOI10.1007/BF01265640zbMath0845.51011OpenAlexW2029724316MaRDI QIDQ1904117

Hermann Hähl

Publication date: 1 February 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01265640

zbMATH Keywords

octonion plane16-dimensional translation plane

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Topological linear incidence structures (51H10) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (1)

Sixteen-dimensional locally compact translation planes with collineation groups of dimension at least 38

Cites Work

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• Die Oktavenebene als Translationsebene mit großer Kollineationsgruppe. (The Cayley plane as a translation plane with a large collineation group)
• Eine Klasse von achtdimensionalen lokalkompakten Translationsebenen mit großen Scherungsgruppen
• Achtdimensionale lokalkompakte Translationsebenen mit mindestens 17- dimensionaler Kollineationsgruppe. (Eight-dimensional locally compact translation planes with at least 17-dimensionally collineation group)
• S\(U_ 4({\mathbb{C}})\) als Kollineationsgruppe in sechzehndimensionalen lokalkompakten Translationsebenen. \((SU_ 4({\mathbb{C}})\) as collineation group in sixteen-dimensional locally compact translation planes)
• 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
• Homologies and elations in compact, connected projective planes
• 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
• Topological pseudo-ovals, elation Laguerre planes, and elation generalized quadrangles
• Dimension der Bahnen lokal kompakter Gruppen
• Sechzehndimensionale lokalkompakte Translationsebenen, deren Kollineationsgruppe \(G_ 2\) enthält. (On sixteen-dimensional locally compact translation planes with collineation group containing \(G_ 2)\)

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