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On the permutation modules for orthogonal groups acting on nonsingular points of their standard modules

โœ Scribed by Jonathan I. Hall; Hung Ngoc Nguyen


Book ID
113740214
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
317 KB
Volume
216
Category
Article
ISSN
0022-4049

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The Permutation Representation of Sp(2m,
โœ Peter Sin ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 120 KB

This paper studies the permutation representation of a finite symplectic group over a prime field of odd characteristic on the vectors of its standard module. The submodule lattice of this permutation module is determined. The results yield additive formulae for the p-ranks of various incidence matr