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SOME CHARACTERIZATIONS OF MOUFANG GENERALIZED QUADRANGLES

Published online by Cambridge University Press:  19 May 2004

FABIENNE HAOT  and
HENDRIK VAN MALDEGHEM
FABIENNE HAOT
Affiliation:
Ghent University, Department of Pure Mathematics and Computer Algebra, Galglaan 2, 9000 Gent, Belgium e-mail: fhaot@cage.rug.ac.be, hvm@cage.rug.ac.be
HENDRIK VAN MALDEGHEM
Affiliation:
Ghent University, Department of Pure Mathematics and Computer Algebra, Galglaan 2, 9000 Gent, Belgium e-mail: fhaot@cage.rug.ac.be, hvm@cage.rug.ac.be
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Abstract

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We prove the longstanding conjecture that the 3-Moufang condition for generalized quadrangles is equivalent to the Moufang condition. We mention some other characterizations of Moufang quadrangles that follow from this result. We also provide a short proof of Tent's recent result that every half Moufang quadrangle is necessarily a Moufang quadrangle.

Keywords

51E12
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 335 - 343
Copyright
2004 Glasgow Mathematical Journal Trust