Affine circle geometry over quaternion skew fields

DOI10.1016/S0012-365X(96)00328-7zbMath0902.51001arXiv1204.3192OpenAlexW2019712596MaRDI QIDQ1377802

Hans Havlicek

Publication date: 13 December 1998

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

Full work available at URL: https://arxiv.org/abs/1204.3192

zbMATH Keywords

Galois extensionBaer subplanechain geometryquaternion skew field

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Translation planes and spreads in linear incidence geometry (51A40) Möbius geometries (51B10) General theory of nonlinear incidence geometry (51B05) Field extensions (12F99)

Related Items (1)

Divisible designs, Laguerre geometry, and beyond

Cites Work

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• The quaternion formalism for Möbius groups in four or fewer dimensions
• Die Automorphismengruppe der Möbiusgeometrie einer Körpererweiterung
• Line models of Möbius- and Burau-geometries.
• Spreads of right quadratic skew field extensions
• Spheres of quadratic field extensions
• On the geometry of field extensions
• Eine geometrische Kennzeichnung linearer Abbildungen
• Metrica hermitiana ellittica in uno spazio proiettivo quaternionale
• Quadratic Extensions of Skew Fields
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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