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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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Volume 13, Issue 3


Baer involutions and polarities in Moufang planes of characteristic two

Norbert Knarr / Markus Stroppel
Published Online: 2013-07-11 | DOI: https://doi.org/10.1515/advgeom-2012-0016


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

About the article

Published Online: 2013-07-11

Published in Print: 2013-07-01

Citation Information: Advances in Geometry, Volume 13, Issue 3, Pages 533–546, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2012-0016.

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