Quaternion Hermitian planes

DOI10.1007/BF03322312zbMath0784.51013OpenAlexW2095148411MaRDI QIDQ686734

Markus Johannes Stroppel

Publication date: 11 October 1993

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322312

zbMATH Keywords

automorphismsstable planesquasi-perspectivetopological planestranslation groups

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Topological geometries on manifolds (51H20) Topological linear incidence structures (51H10) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (4)

Stable planes ⋮ Shear planes ⋮ The skew-hyperbolic motion group of the quaternion plane ⋮ Stabilizers of collineation groups of smooth stable planes

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)
• Stable planes admitting a classical motion group
• Actions of \(Spin_ 3\) on 4-dimensional stable planes
• Achtdimensionale lokalkompakte Translationsebenen mit mindestens 17- dimensionaler Kollineationsgruppe. (Eight-dimensional locally compact translation planes with at least 17-dimensionally collineation group)
• 4-dimensionale projektive Ebenen mit großer abelscher Kollineationsgruppe. (Four-dimensional projective planes with large abelian collineation group)
• Central collineations and the parallel axiom in stable planes
• Compact 8-dimensional projective planes with large collineation groups
• Stable planes of low dimension admitting reflections at many lines
• On restrictions of automorphism groups of compact projective planes to subplanes
• Planar groups of automorphisms of stable planes
• Reconstruction of incidence geometries from groups of automorphisms
• 4-dimensionale Translationsebenen mit kommutativer Standgruppe
• Vierdimensionale stabile Ebenen
• Halbeinfache Automorphismengruppen von vierdimensionalen stabilen Ebenen sind quasi-einfach
• Quasi-perspectivities in stable planes
• Über stetige algebraische Körper
• Gaps in the dimensions of transformation groups
• Topological planes
• Dimension der Bahnen lokal kompakter Gruppen
• Einige Sätze über topologische Gruppen
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Topology and dimension of stable planes: On a conjecture of H. Freudenthal.
• Hermitian quadratic forms in a quasi-field

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