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
Lattices generated by two orbits of subspaces under finite classical groups
โ Scribed by Kaishun Wang; Jun Guo
- Book ID
- 108131482
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 180 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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