منابع مشابه
Constructing class fields over local fields
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 field...
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متن کاملConstructing 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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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1992
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500008533