AbstractLet E/k be a Galois extension of algebraic number fields with the Galois group isomorphic to the symmetric group Sn on n⩽5 letters. For any field extensions k⊆K, L⊆E a necessary and a sufficient condition is given for the equality NK/kK∗=NL/kL∗ to hold, where NK/kK∗ is the group of norms from K to k of the elements of the multiplicative group K∗ of K
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractLet E/k be a Galois extension of algebraic number fields with the Galois group isomorphic to...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
We study the distribution of extensions of a number field $k$ with fixed abelian Galois group $G$, f...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
AbstractLetL/kandT/kbe finite extensions of algebraic number fields. In the present work we introduc...
For a finite group $G$, we introduce a generalization of norm relations in the group algebra $\mathb...
International audienceFor a finite group $G$, we introduce a generalization of norm relations in the...
AbstractLet K be a finite extension of a p-adic number field k. By local class field theory there is...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
It is well known that the Galois group of an extension L/F puts con-straints on the structure of the...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractLet E/k be a Galois extension of algebraic number fields with the Galois group isomorphic to...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
International audienceWe study the distribution of extensions of a number field $k$ with fixed abeli...
We study the distribution of extensions of a number field $k$ with fixed abelian Galois group $G$, f...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
AbstractLetL/kandT/kbe finite extensions of algebraic number fields. In the present work we introduc...
For a finite group $G$, we introduce a generalization of norm relations in the group algebra $\mathb...
International audienceFor a finite group $G$, we introduce a generalization of norm relations in the...
AbstractLet K be a finite extension of a p-adic number field k. By local class field theory there is...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
It is well known that the Galois group of an extension L/F puts con-straints on the structure of the...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
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