On the computation of all extensions of a p-adic field of a given degree
نویسندگان
چکیده
Let k be a p-adic field. It is well-known that k has only finitely many extensions of a given finite degree. In [Kr66], Krasner gives formulae for the number of extensions of a given degree and discriminant. Following his work, we present an algorithm for the computation of generating polynomials for all extensions K/k of a given degree and discriminant.
منابع مشابه
ON THE COMPUTATION OF ALL EXTENSIONS OF A p-ADIC FIELD
Let k be a p-adic eld. It is well-known that k has only nitely many extension of a given nite degree. In Kr66], Krasner gives formulae for the number of extensions of a given degree and discriminant. Following his work, we present an algorithm for the computation of generating polynomials for all extensions K=k of a given degree and discriminant.
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عنوان ژورنال:
- Math. Comput.
دوره 70 شماره
صفحات -
تاریخ انتشار 2001