Exceptional Moufang Quadrangles of type F_4
by Bernhard Mühlherr and Hendrik Van Maldeghem
Abstract:
In this paper, we present a geometric construction of the Moufang
quadrangles discovered by Richard Weiss. The construction uses fixed
point free 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.
Key words and phrases:
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1991 Mathematics Subject Classification: 51E24
To appear in: Canadian Journal of Mathematics
Contact: Bernhard.Muehlherr@Mathematik.Uni-Dortmund.DE