Sixteen-dimensional locally compact translation planes admitting \(SU_4\mathbb{C}\cdot S\mathbb{U}_2\mathbb{C}\) or \(SU_4\mathbb{C}\cdot S\mathbb{L}_2\mathbb{R}\) as a group of collineations

DOI10.1007/BF02940910zbMath0992.51007MaRDI QIDQ5954691

Hermann Hähl

Publication date: 10 September 2002

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

automorphism grouptranslation planecompact projective planeCayley planecollineation groups without fixed pointsnear-homogeneous projective planeoctonion planesemisimple collineation group

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

Sixteen-dimensional compact translation planes with automorphism groups of dimension at least 35

Cites Work

• 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)
• Lokalkompakte zusammenhängende Translationsebenen mit großen Sphärenbahnen auf der Translationsachse
• On the kernel and the nuclei of 8-dimensional locally compact quasifields
• Sixteen-dimensional locally compact translation planes with large automorphism groups having no fixed points
• Compact projective planes. With an introduction to octonion geometry
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Near-homogeneous 16-dimensional planes
• The maximal subgroups of the classical groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item