AbstractAssume that K is either a totally real or a totally imaginary number field. Let F be the maximal unramified elementary abelian 2-extension of K and [F:K] = 2n. The purpose of this paper is to describe a family of cubic cyclic extension of K. We have constructed an unramified abelian extension of degree 2n + 2 for each member L of the family
AbstractThis paper deals with number fields F for which the 2-primary subgroup of K2(OF), the Milnor...
AbstractLet k be a number field of finite degree. The narrow genus field K of k (genus field of k in...
In this article we construct number fields k which have a trivial class group, but an infinite unram...
AbstractAssume that K is either a totally real or a totally imaginary number field. Let F be the max...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
AbstractWe classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also cla...
AbstractLetkbe an algebraic number field. We describe a procedure for computing the Hilbert class fi...
Abstract. We construct unramified Galois extensions over max-imal abelian extensions of algebraic nu...
We construct unramified Galois extensions over maximal abelian extensions of algebraic number fields...
AbstractLet K be an unramified abelian extension of a number field F with Galois group G. We conside...
International audienceFor a number field k and a prime number p, let k∞ be the cyclotomic Zp-extensi...
International audienceFor a number field k and a prime number p, let k∞ be the cyclotomic Zp-extensi...
AbstractThis paper deals with number fields F for which the 2-primary subgroup of K2(OF), the Milnor...
AbstractLet k be a number field of finite degree. The narrow genus field K of k (genus field of k in...
In this article we construct number fields k which have a trivial class group, but an infinite unram...
AbstractAssume that K is either a totally real or a totally imaginary number field. Let F be the max...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
— Let K be a totally imaginary number field. Denote by G ur K (2) the Galois group of the maximal un...
AbstractWe classify quadratic, biquadratic and degree 4 cyclic 2-rational number fields. We also cla...
AbstractLetkbe an algebraic number field. We describe a procedure for computing the Hilbert class fi...
Abstract. We construct unramified Galois extensions over max-imal abelian extensions of algebraic nu...
We construct unramified Galois extensions over maximal abelian extensions of algebraic number fields...
AbstractLet K be an unramified abelian extension of a number field F with Galois group G. We conside...
International audienceFor a number field k and a prime number p, let k∞ be the cyclotomic Zp-extensi...
International audienceFor a number field k and a prime number p, let k∞ be the cyclotomic Zp-extensi...
AbstractThis paper deals with number fields F for which the 2-primary subgroup of K2(OF), the Milnor...
AbstractLet k be a number field of finite degree. The narrow genus field K of k (genus field of k in...
In this article we construct number fields k which have a trivial class group, but an infinite unram...
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