Stabilizers of collineation groups of smooth stable planes

DOI10.1016/S0019-3577(98)80028-1zbMath0935.51012MaRDI QIDQ1279720

Richard Bödi

Publication date: 25 April 2000

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

collineation groupssemi-simple groupssmooth projective planessmooth stable planes

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Translation planes and spreads in linear incidence geometry (51A40) Topological geometries on manifolds (51H20) Geometries with differentiable structure (51H25) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Cites Work

• Quaternion Hermitian planes
• Groups acting on the 4-sphere
• Lokalkompakte zusammenhängende Translationsebenen mit großen Sphärenbahnen auf der Translationsachse
• Central collineations and the parallel axiom in stable planes
• Compact 8-dimensional projective planes with large collineation groups
• Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen
• Vierdimensionale stabile Ebenen
• Zur Klassifikation von 8- und 16-dimensionalen lokalkompakten Translationsebenen nach ihren Kollineationsgruppen
• Differentiability of continuous homomorphisms between smooth loops
• Smooth stable planes
• Smooth projective translation planes
• Topological planes
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• Dimension der Bahnen lokal kompakter Gruppen
• 2-dimensionale differenzierbare projektive Ebenen. (Two-dimensional differentiable projective planes)
• Topology and dimension of stable planes: On a conjecture of H. Freudenthal.
• On a Class of Transformation Groups
• Dense Imbedding of Topological Groups
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