Sixteen-dimensional locally compact planes of Lenz-type V on which \(\mathrm{SU}_2\mathbb{H}\) acts as a group of collineations
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Publication:1996186
DOI10.1007/s00022-020-00561-4zbMath1464.51011OpenAlexW3094814343MaRDI QIDQ1996186
Publication date: 3 March 2021
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-020-00561-4
Semifields (12K10) Translation planes and spreads in linear incidence geometry (51A40) Topological linear incidence structures (51H10) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Topological semifields (12J17)
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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
- Automorphismengruppen achtdimensionaler lokalkompakter Quasikörper
- Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen
- On the kernel and the nuclei of 8-dimensional locally compact quasifields
- The transposition of locally compact, connected translation planes
- Zur Klassifikation von 8- und 16-dimensionalen lokalkompakten Translationsebenen nach ihren Kollineationsgruppen
- Translation planes. Foundations and construction principles
- Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
- Sixteen-dimensional locally compact translation planes with collineation groups of dimension at least 38
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