2-CLASS FIELDS TOWERS OF SOME IMAGINARY BIQUADRATIC NUMBER FIELDS
نویسندگان
چکیده
منابع مشابه
On 2-class field towers of imaginary quadratic number fields
For a number field k, let k1 denote its Hilbert 2-class field, and put k2 = (k1)1. We will determine all imaginary quadratic number fields k such that G = Gal(k2/k) is abelian or metacyclic, and we will give G in terms of generators and relations.
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We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2, 2, 2) whose Hilbert 2-class fields are finite.
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Let N be an imaginary abelian number field. We know that hN , the relative class number of N , goes to infinity as fN , the conductor of N , approaches infinity, so that there are only finitely many imaginary abelian number fields with given relative class number. First of all, we have found all imaginary abelian number fields with relative class number one: there are exactly 302 such fields. I...
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Mathematics Subject Classi cation: Primary, 11R20, 11R29, 11Y40; Secondary, 11M20, 11R42.
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ژورنال
عنوان ژورنال: International Electronic Journal of Pure and Applied Mathematics
سال: 2013
ISSN: 1314-0744
DOI: 10.12732/iejpam.v6i3.3