The structure of the symplectic group over an unramified dyadic field
โ Scribed by Chan-nan Chang
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 427 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k รk be the cyclotomic Z p -extension and Lรk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(Lรk ) and Y=Gal(L & Nรk ), and let
Given a quadratic extension L/K of fields and a regular alternating space V f of finite dimension over L, we classify K-subspaces of V which do not split into the orthogonal sum of two proper K-subspaces. This allows one to determine the orbits of the group Sp L V f in the set of K-subspaces of V .