AbstractLet Kk be a Galois extension of number fields and G its Galois group. By considering the class group of K as a G module we are able to make assertions about its structure once the class number is known. Applications are made to cyclic cubic fields and the 2-class group of cyclotomic fields
Soient k un corps de nombres, O son anneau d'entiers et le groupe alterné A . On suppose que k et Q(...
AbstractLet l be a prime number and K be a cyclic extension of degree l of the rational function fie...
Let k be a number field, Cl(k) its class group and Ok its ring of integers. Let Rm(k;Γ) be the subse...
AbstractLet Kk be a Galois extension of number fields and G its Galois group. By considering the cla...
AbstractIt is well known that the Galois group of an extension L/F puts constraints on the structure...
AbstractLet k be a number field, l be a prime number, Γ be a group of order l; assume that k and the...
Soient k un corps de nombres, Ok son anneau d entiers et Cl(k) son groupe des classes. Soient G un g...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
It is well known that the Galois group of an extension L/F puts con-straints on the structure of the...
Let G be a finite group and K a number field with ring of integers O_K. In this thesis we study seve...
Let K be a number field with ring of integers O_K and let G be a finite group.By a result of E. Noet...
AbstractLetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cy...
Abstract. Let K=k be a finite Galois extension of number fields with Galois group G and let S be a f...
AbstractLet k be a number field and Ok its ring of integers. Let l be a prime number and m a natural...
If K/F is a Galois field extension with Galois group of prime power order distinct from char(F), the...
Soient k un corps de nombres, O son anneau d'entiers et le groupe alterné A . On suppose que k et Q(...
AbstractLet l be a prime number and K be a cyclic extension of degree l of the rational function fie...
Let k be a number field, Cl(k) its class group and Ok its ring of integers. Let Rm(k;Γ) be the subse...
AbstractLet Kk be a Galois extension of number fields and G its Galois group. By considering the cla...
AbstractIt is well known that the Galois group of an extension L/F puts constraints on the structure...
AbstractLet k be a number field, l be a prime number, Γ be a group of order l; assume that k and the...
Soient k un corps de nombres, Ok son anneau d entiers et Cl(k) son groupe des classes. Soient G un g...
AbstractThe structure of ideal class groups of number fields is investigated in the following three ...
It is well known that the Galois group of an extension L/F puts con-straints on the structure of the...
Let G be a finite group and K a number field with ring of integers O_K. In this thesis we study seve...
Let K be a number field with ring of integers O_K and let G be a finite group.By a result of E. Noet...
AbstractLetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cy...
Abstract. Let K=k be a finite Galois extension of number fields with Galois group G and let S be a f...
AbstractLet k be a number field and Ok its ring of integers. Let l be a prime number and m a natural...
If K/F is a Galois field extension with Galois group of prime power order distinct from char(F), the...
Soient k un corps de nombres, O son anneau d'entiers et le groupe alterné A . On suppose que k et Q(...
AbstractLet l be a prime number and K be a cyclic extension of degree l of the rational function fie...
Let k be a number field, Cl(k) its class group and Ok its ring of integers. Let Rm(k;Γ) be the subse...