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Baer involutions and polarities in Moufang planes of characteristic two
-
Norbert Knarr
and
Markus Stroppel
Published/Copyright:
July 11, 2013
Abstract
We classify those polarities of Moufang planes in characteristic two that have at least one absolute point. Along the way, we determine the Baer involutions of the planes in question and show that the corresponding Baer subplanes will be pappian or non-desarguesian Moufang planes.
Keywords: Moufang plane; translation plane; Baer involution; polarity; conjugacy; semifield; division algebra; alternative algebra; composition algebra; octonion field; automorphism; autotopism
Published Online: 2013-07-11
Published in Print: 2013-07
© 2013 by Walter de Gruyter GmbH & Co.
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Keywords for this article
Moufang plane;
translation plane;
Baer involution;
polarity;
conjugacy;
semifield;
division algebra;
alternative algebra;
composition algebra;
octonion field;
automorphism;
autotopism
Articles in the same Issue
- Masthead
- Index and nullity of a family of harmonic tori in the sphere
- G-Fano threefolds, I
- G-Fano threefolds, II
- A local-to-global result for topological spherical buildings
- Biaffine polar spaces
- Adjoint pluricanonical systems on varieties of general type
- Hypersurfaces of revolution with proportional principal curvatures
- On metrically complete Bruhat–Tits buildings
- Veroneseans, power subspaces and independence
- Baer involutions and polarities in Moufang planes of characteristic two
- The Chern invariants for parabolic bundles at multiple points
