The structure of rank 3 permutation modules for O_{2n}(2) and U_m(2) acting on nonsingular points

Mathematics – Group Theory

Scientific paper

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27 pages, 4 tables

Scientific paper

We study the odd-characteristic structure of permutation modules for the rank
3 natural actions of $O_{2n}^{\pm}(2)$ ($n\geq3$) and $U_{m}(2)$ ($m\geq4$) on
nonsingular points of their standard modules.

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