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

DOI10.1515/ADVGEOM.2010.046zbMath1218.51009MaRDI QIDQ2998871

Hermann Hähl

Publication date: 11 May 2011

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

translation planeexceptional Lie grouplocally compact translation plane16-dimensional locally compact translation planeclassical octonion plane

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Topological linear incidence structures (51H10)

Related Items (2)

Sixteen-dimensional locally compact planes of Lenz-type V on which \(\mathrm{SU}_2\mathbb{H}\) acts as a group of collineations ⋮ Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35

Cites Work

• Die Oktavenebene als Translationsebene mit großer Kollineationsgruppe. (The Cayley plane as a translation plane with a large 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)
• Homologies and elations in compact, connected projective planes
• Zur Klassifikation von 8- und 16-dimensionalen lokalkompakten Translationsebenen nach ihren Kollineationsgruppen
• Sixteen-dimensional locally compact translation planes admitting \(\text{SL}_2\mathbb H\) as a group of collinea\-tions.
• \(SU_ 2\mathbb{H}\) as the collineation group of sixteen dimensional locally compact translation planes
• 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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