Moufang sets and jordan division algebras |
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Authors: | Tom De Medts Richard M Weiss |
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Institution: | (1) Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281 S22, 9000 Gent, Belgium;(2) Department of Mathematics, Tufts University, Medford, MA 02155, USA |
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Abstract: | We give a simple criterion which determines when a permutation group U and one additional permutation give rise to a Moufang set. We apply this criterion to show that every Jordan division algebra
gives rise in a very natural way to a Moufang set, to provide sufficient conditions for a Moufang set to arise from a Jordan
division algebra and to give a characterization of the projective Moufang sets over a commutative field of characteristic
different from 2.
The first author is a Postdoctoral Fellow of the Research Foundation – Flanders (Belgium) (FWO-Vlaanderen). |
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Keywords: | 17C30 17C60 20E42 |
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