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
Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups I
โ Scribed by You Gao; Juan Xu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 292 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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