AbstractLet K be a real quadratic field with 2-class rank equal to 4 or 5 and 4-class rank equal to 3. This paper computes density information for such fields to have infinite Hilbert 2-class field towers
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
We determine the Hilbert 2-class field tower for some quartic number fields k whose 2-class group Ck...
summary:Let $\Bbbk =\mathbb {Q} \bigl (\sqrt 2, \sqrt d \bigr )$ be an imaginary bicyclic biquadrati...
AbstractLet K be a real quadratic field with 2-class rank equal to 4 or 5 and 4-class rank equal to ...
AbstractWe determine all real quadratic number fields with 2-class field tower of length at most 1
summary:It is well known by results of Golod and Shafarevich that the Hilbert $2$-class field tower ...
summary:It is well known by results of Golod and Shafarevich that the Hilbert $2$-class field tower ...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-classfield tower of an imaginary qua...
summary:We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a...
summary:We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
AbstractLetkbe an imaginary quadratic number field. Letk1denote the Hilbert 2-class field ofk. We ch...
By the results of Golod-Shafarevich and Vinberg-Gaschutz,the 2-class field tower of an imaginary qua...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
The modern theory of class field towers has its origins in the study of the p-class field tower over...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
We determine the Hilbert 2-class field tower for some quartic number fields k whose 2-class group Ck...
summary:Let $\Bbbk =\mathbb {Q} \bigl (\sqrt 2, \sqrt d \bigr )$ be an imaginary bicyclic biquadrati...
AbstractLet K be a real quadratic field with 2-class rank equal to 4 or 5 and 4-class rank equal to ...
AbstractWe determine all real quadratic number fields with 2-class field tower of length at most 1
summary:It is well known by results of Golod and Shafarevich that the Hilbert $2$-class field tower ...
summary:It is well known by results of Golod and Shafarevich that the Hilbert $2$-class field tower ...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-classfield tower of an imaginary qua...
summary:We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a...
summary:We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
AbstractLetkbe an imaginary quadratic number field. Letk1denote the Hilbert 2-class field ofk. We ch...
By the results of Golod-Shafarevich and Vinberg-Gaschutz,the 2-class field tower of an imaginary qua...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
The modern theory of class field towers has its origins in the study of the p-class field tower over...
By the results of Golod-Shafarevich and Vinberg-Gaschutz, the 2-class field tower of an imaginary qu...
We determine the Hilbert 2-class field tower for some quartic number fields k whose 2-class group Ck...
summary:Let $\Bbbk =\mathbb {Q} \bigl (\sqrt 2, \sqrt d \bigr )$ be an imaginary bicyclic biquadrati...