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Lattices generated by orbits of totally isotropic flats under finite affine-classical groups

โœ Scribed by Kaishun Wang; Jun Guo


Book ID
108131459
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
126 KB
Volume
14
Category
Article
ISSN
1071-5797

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Let ASG(2ฮฝ, F q ) be the 2ฮฝ-dimensional affine-symplectic space over the finite field F q and let ASp 2ฮฝ (F q ) be the affine-symplectic group of degree 2ฮฝ over F q . For any two orbits M and M of flats under ASp 2ฮฝ (F q ), let L (resp. L ) be the set of all flats which are joins (resp. intersection

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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