> < ^ Date: Wed, 19 Jul 2000 15:41:16 +0100 (BST)
> < ^ From: Leonard Soicher <l.h.soicher@qmul.ac.uk >
^ Subject: New results in finite geometry using GAP and GRAPE

Dear GAP-Forum,

You might be interested in the web-page


where I report on new classifications obtained using GAP and GRAPE in
the study of partial spreads in finite projective spaces (a *partial
spread* is a set of (projective) lines, no pair of which have a
(projective) point in common).

I include GAP/GRAPE log-files with the web-page, which detail the
computations. These should be of interest both to finite geometers and
to those seeking extended examples of the use of GRAPE.

Highlights include the complete classification of maximal partial
spreads in PG(3,4) and the discovery and classification of maximal
partial spreads of size 45 in PG(3,7) invariant under a group of order
5 (until quite recently it was conjectured that a largest maximal
partial spread of PG(3,q) which did not partition the points of PG(3,q)
would have size at most q^2-q+2).

Hope this is of interest.

-Leonard Soicher

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