Computing Local Artin Maps, and Solvability of Norm Equations
نویسندگان
چکیده
Let L = K() be an abelian extension of degree n of a number eld K, given by the minimal polynomial of over K. We describe an algorithm for computing the local Artin map associated to the extension L=K at a nite or innnite prime v of K. We apply this algorithm to decide if a nonzero a 2 K is a norm from L, assuming that L=K is cyclic.
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ورودعنوان ژورنال:
- J. Symb. Comput.
دوره 30 شماره
صفحات -
تاریخ انتشار 2000