Moufang quadrangles of mixed type

Details Moufang quadrangles of mixed type Moufang quadrangles of mixed type

2009-09-17

arxiv.org/abs/0909.3208v1

Glasg. Math. J. 50 (2008), no. 1, 143-161

Mathematics

Combinatorics

Scientific paper

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 net 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 an already known result by the second author.

Affiliated with

Also associated with

No associations

Rating

Moufang quadrangles of mixed type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moufang quadrangles of mixed type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moufang quadrangles of mixed type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390996