Geodesic
Exceptional Moufang Quadrangles of Type F4
Canadian journal of mathematics, Tome 51 (1999) no. 2, pp. 347-371

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we present a geometric construction of the Moufang quadrangles discovered by Richard Weiss (see Tits & Weiss [18] or Van Maldeghem [19]). The construction uses fixed point free involutions in certain mixed quadrangles, which are then extended to involutions of certain buildings of type ${{F}_{4}}$ . The fixed flags of each such involution constitute a generalized quadrangle. This way, not only the new exceptional quadrangles can be constructed, but also some special type of mixed quadrangles.
DOI : 10.4153/CJM-1999-018-2
Mots-clés : 51E12, 51E24 
Mühlherr, Bernhard; Maldeghem, Hendrik Van. Exceptional Moufang Quadrangles of Type F4. Canadian journal of mathematics, Tome 51 (1999) no. 2, pp. 347-371. doi: 10.4153/CJM-1999-018-2
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