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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.