The quotient field as a torsion-free covering module
β Scribed by Tom Cheatham
- Book ID
- 111959922
- Publisher
- The Hebrew University Magnes Press
- Year
- 1979
- Tongue
- English
- Weight
- 191 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π 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 Γk be the cyclotomic Z p -extension and LΓk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(LΓk ) and Y=Gal(L & NΓk ), and let
A well-known result of P. Hill's [1969, Trans. Amer. Math. Soc. 141, 99-105] says that any endomorphism of a totally projective abelian p-group for any odd prime is the sum of two automorphisms. We will extend this result to local Warfield modules of finite torsion-free rank over odd primes.