Computation of the p-part of the ideal class group of certain real abelian fields
نویسنده
چکیده
Under Greenberg’s conjecture, we give an efficient method to compute the p-part of the ideal class group of certain real abelian fields by using cyclotomic units, Gauss sums and prime numbers. As numerical examples, we compute the p-part of the ideal class group of the maximal real subfield of Q( √ −f, ζpn+1) in the range 1 < f < 200 and 5 ≤ p < 100000. In order to explain our method, we show an example whose ideal class group is not cyclic.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 76 شماره
صفحات -
تاریخ انتشار 2007