Capitulation for even K-groups in the cyclotomic \mathbb{Z}_p-extension.
نویسندگان
چکیده
منابع مشابه
Prime decomposition in the anti-cyclotomic extension
For an imaginary quadratic number field K and an odd prime number l, the anti-cyclotomic Zl-extension of K is defined. For primes p of K, decomposition laws for p in the anti-cyclotomic extension are given. We show how these laws can be applied to determine if the Hilbert class field (or part of it) of K is Zl-embeddable. For some K and l, we find explicit polynomials whose roots generate the f...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2009
ISSN: 1246-7405
DOI: 10.5802/jtnb.681