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Finite Simple Groups, Geometries, Buildings, and Related Topics, Conference in Honor of Ernest Shult
March 22-24, 2001
Kansas State University
Manhattan, KS, USA

Organizers
Michael Aschbacher, Andrew Chermak, Zongzhu Lin, Bernd Stellmacher

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The structure of some modular permutation modules for classical groups
by
Peter Sin
University of Florida
Coauthors: Jeff Lataille, Pham Huu Tiep

Let G be a classical group acting on the set of singular one-dimensional subspaces of its natural module. We study the structure of the permutation module over a field of positive characteristic different from that of the group. As special cases, we determine submodule structures of mod 2 codes related to some classical generalized quadrangles, whose structure had been conjectured by Bagchi, Brouwer and others.

Date received: March 5, 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-14.