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Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups I

โœ Scribed by You Gao; Juan Xu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
292 KB
Volume
431
Category
Article
ISSN
0024-3795

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Let n q be the n-dimensional vector space over the finite field q and let G n be one of the classical groups of degree n over q . Let be any orbit of subspaces under G n . Denote by the set of subspaces which are intersections of subspaces in and assume the intersection of the empty set of subspaces

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Let F (n+l) q 2 be the (n + l)-dimensional vector space over the finite field F q 2 , and U n+l,n (F q 2 ) the singular Unitary groups of degree n + l over F q 2 . Let M be any orbit of subspaces under U n+l,n (F q 2 ). Denote by L the set of subspaces which are intersections of subspaces in M, wher