Kummer theory without roots of unity
نویسندگان
چکیده
منابع مشابه
Galois Cohomology of Fields without Roots of Unity
There is a standard correspondence between elements of the cohomology group H(F, μn) (with the trivial action of ΓF = Gal(Fs/F ) on μn) and cyclic extensions of dimension n over F . We extend this to a correspondence between the cohomology groups H(F, μn) where the action of ΓF on μn varies, and the extensions of dimension n of K which are Galois over F , where K = F [μn] and [K :F ] is prime t...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1988
ISSN: 0022-4049
DOI: 10.1016/0022-4049(88)90003-5