Minimal geometric spanning sets for dual polar spaces of type Sp(2n, 2)
by
Phillip McClurg
Fallbrook, CA

Recently Paul Li settled a conjecture by Andries Brouwer regarding the universal embedding dimension of DSp(2n, 2), the dual polar space of type Sp(2n, 2). Later, Andries Brouwer and Art Blokhuis developed another solution by reformulating the question in terms of DO+(2n, 2) < DO(2n+1, 2). We apply this reformulation to the problem of finding geometric spanning sets of minimal cardinality. For n < 6 we have found such sets in DO+(2n, 2) giving another proof of the result originally established by Bruce Cooperstein. We hope to discuss some of the computer programs were are currently using to handle the case n=6. This case has been crucial in solving the general case of Brouwer's conjecture on the embedding dimension.

Date received: February 26, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagg-11.