Geodesic
MOUFANG QUADRANGLES OF MIXED TYPE
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 143-161

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DOI

In this paper, we present some geometric characterizations of the Moufang quadrangles of mixed type, i.e., the Moufang quadrangles all the points and lines of which are regular. Roughly, we classify generalized quadrangles with enough (to be made precise) regular points and lines with the property that the dual nets associated to the regular points satisfy the Axiom of Veblen-Young, or a very weak version of the Axiom of Desargues. As an application we obtain a geometric characterization and axiomatization of the generalized inversive planes arising from the Suzuki-Tits ovoids related to a polarity in a mixed quadrangle. In the perfect case this gives rise to a characterization with one axiom less than in a previous result by the second author.
DOI : 10.1017/S0017089507004016
Mots-clés : 51E12 
STRUYVE, KOEN; MALDEGHEM, HENDRIK VAN. MOUFANG QUADRANGLES OF MIXED TYPE. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 143-161. doi: 10.1017/S0017089507004016
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     title = {MOUFANG {QUADRANGLES} {OF} {MIXED} {TYPE}},
     journal = {Glasgow mathematical journal},
     pages = {143--161},
     year = {2008},
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     number = {1},
     doi = {10.1017/S0017089507004016},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004016/}
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