Incidence Modules for Symplectic Spaces in Characteristic Two

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We study the permutation action of a finite symplectic group of characteristic 2 on the set of subspaces of its standard module which are either totally isotropic or else complementary to totally isotropic subspaces with respect to the alternating form. A general formula is obtained for the 2-rank of the incidence matrix for the inclusion of one-dimensional subspaces in the distinguished subspaces of a fixed dimension.

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Combinatorics, Representation Theory, 05E20, 20G05

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http://salesiana.dossiersoluciones.com/handle/123456789/146821

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.4392
 http://arxiv.org/abs/0801.4392

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arXiv