The codes of generalized quadrangles of even order

Authors: N. S. Narasimhan Sastry,
               Indian Statistical Institute, Math-Stat division,
               Bangalore Centre,
               R. V. College Post,
               Seventh Mile, Mysore Road,
               Bangalore 560 059
               India
               

         Peter Sin
                        Department of Mathematics
                        University of Florida
                        358 Little Hall
                        PO Box 118105
                        Gainesville, FL 32611-8105 


Abstract.  Let $V$ be a 4-dimensional vector space over a finite field
of characteristic 2, equipped with a nonsingular alternating
bilinear form. Let $P$ be the set of 1-dimensional subspaces
and $L$ the set of 2-dimensional isotropic subspaces. The incidence
relation between these sets can be represented by an incidence matrix $A$
(with entries in $\Bb F_2$). In this paper, modular representation
theory is used to determine the rank of $A$.



Status: To appear in: Procedings of AMS Summer Research Institute
on Group actions and Cohomology, Seattle, 1996.