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

Hung Ngoc Nguyen; Jonathan I. Hall

arxiv: 0910.4759 · v4 · pith:SEQKL57Unew · submitted 2009-10-25 · 🧮 math.GR · math.RT

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

Jonathan I. Hall , Hung Ngoc Nguyen This is my paper

classification 🧮 math.GR math.RT

keywords modulesnonsingularpermutationpointsrankstructureactingactions

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

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