Constructing class fields over local fields
نویسنده
چکیده
Let K be a p-adic field. We give an explicit characterization of the abelian extensions of K of degree p by relating the coefficients of the generating polynomials of extensions L/K of degree p to the exponents of generators of the norm group NL/K(L ∗). This is applied in an algorithm for the construction of class fields of degree pm, which yields an algorithm for the computation of class fields in general.
منابع مشابه
Constructing class fields over local fields par Sebastian Pauli
Let K be a p-adic field. We give an explicit characterization of the abelian extensions ofK of degree p by relating the coefficients of the generating polynomials of extensions L/K of degree p to the exponents of generators of the norm groupNL/K(L). This is applied in an algorithm for the construction of class fields of degree p, which yields an algorithm for the computation of class fields in ...
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تاریخ انتشار 1994