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
We prove necessary and sufficient conditions for a finite group $G$ with an ordering of $G$-extensio...
AbstractLet F be a number field and K an extension of F with Galois group D4 (resp. A4 or S4). In th...
AbstractIn this paper, we introduce a notion of “Galois average” which allows us to give a suitable ...
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...
AbstractLetL/kandT/kbe finite extensions of algebraic number fields. In the present work we introduc...
AbstractLet K be a finite extension of a p-adic number field k. By local class field theory there is...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
AbstractIt is well known that the Galois group of an extension L/F puts constraints on the structure...
We study the distribution of extensions of a number field $k$ with fixed abelian Galois group $G$, f...
AbstractWe define and study the module (over rational integers) of relative norms in galois field ex...
Let L/K be a finite Galois extension, with Galois group G = Gal(L/K). We can express characteristic ...
AbstractExamples are constructed of division rings finite-dimensional and central over the rational ...
We prove necessary and sufficient conditions for a finite group $G$ with an ordering of $G$-extensio...
AbstractLet F be a number field and K an extension of F with Galois group D4 (resp. A4 or S4). In th...
AbstractIn this paper, we introduce a notion of “Galois average” which allows us to give a suitable ...
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...
AbstractLetL/kandT/kbe finite extensions of algebraic number fields. In the present work we introduc...
AbstractLet K be a finite extension of a p-adic number field k. By local class field theory there is...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
AbstractLet k be a global field. In an earlier work we proved that K ⊆ L iff NLkL∗ ⊆ NKkK∗ for any f...
AbstractIt is well known that the Galois group of an extension L/F puts constraints on the structure...
We study the distribution of extensions of a number field $k$ with fixed abelian Galois group $G$, f...
AbstractWe define and study the module (over rational integers) of relative norms in galois field ex...
Let L/K be a finite Galois extension, with Galois group G = Gal(L/K). We can express characteristic ...
AbstractExamples are constructed of division rings finite-dimensional and central over the rational ...
We prove necessary and sufficient conditions for a finite group $G$ with an ordering of $G$-extensio...
AbstractLet F be a number field and K an extension of F with Galois group D4 (resp. A4 or S4). In th...
AbstractIn this paper, we introduce a notion of “Galois average” which allows us to give a suitable ...
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