Computing the torsion of the p-ramified module of a number field
نویسندگان
چکیده
We fix a prime number p and a number field K, and denote by M the maximal abelian p-extension of K unramified outside p. Our aim is to study the Zp-module X = Gal(M/K) and to give a method to effectively compute its structure as a Zp-module. We also give numerical results, for real quadratic fields, cubic fields and quintic fields, together with their interpretations via Cohen-Lenstra heuristics.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 84 شماره
صفحات -
تاریخ انتشار 2015