In this paper, we study number fields K with the property that every prime factor of the degree of K remains prime in K. We determine all types of Galois groups of such K up to degree nine and find that Wang's non-existence in cyclic octic case is exceptionally undetermined by our group-theoretic criterion
The determination of polynomials over ℚ(t) with a given primitive nonsolvable permutation group of d...
This project is concerned with the set of primes modulo which some monic, irreducible polynomial ove...
Let p be a prime number, let K|k be a Galois extension of number fields and let S be a finite set of...
In this paper, we study number fields K with the property that every prime factor of the degree of K...
AbstractWe give conditions under which the Galois group of the polynomial Xn + aX1 + b over the rati...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
AbstractLet Kk be a Galois extension of number fields and G its Galois group. By considering the cla...
Cette thèse est l'aboutissement de 4 années de recherches (DEA:2002 et doctorat:2003-2005) sur les c...
The problem of the construction of number fields with Galois group over Q a given finite groups has ...
In this thesis, we study some congruences on the odd prime factors of the class number of the number...
For G a finite group and p a prime, a G-p field is a Galois number field K with Gal(K/Q)≅G and disc(...
We describe a congruence property of solvable polynomials over Q, based on the irreducibility of cyc...
Let K be a number field, A/K be an absolutely simple abelian variety of CM type, and be a prime num...
This thesis covers the factorization properties of number fields, and presents the structures necess...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
The determination of polynomials over ℚ(t) with a given primitive nonsolvable permutation group of d...
This project is concerned with the set of primes modulo which some monic, irreducible polynomial ove...
Let p be a prime number, let K|k be a Galois extension of number fields and let S be a finite set of...
In this paper, we study number fields K with the property that every prime factor of the degree of K...
AbstractWe give conditions under which the Galois group of the polynomial Xn + aX1 + b over the rati...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
AbstractLet Kk be a Galois extension of number fields and G its Galois group. By considering the cla...
Cette thèse est l'aboutissement de 4 années de recherches (DEA:2002 et doctorat:2003-2005) sur les c...
The problem of the construction of number fields with Galois group over Q a given finite groups has ...
In this thesis, we study some congruences on the odd prime factors of the class number of the number...
For G a finite group and p a prime, a G-p field is a Galois number field K with Gal(K/Q)≅G and disc(...
We describe a congruence property of solvable polynomials over Q, based on the irreducibility of cyc...
Let K be a number field, A/K be an absolutely simple abelian variety of CM type, and be a prime num...
This thesis covers the factorization properties of number fields, and presents the structures necess...
AbstractThis paper gives some restrictions on finite groups that can occur as Galois groups of exten...
The determination of polynomials over ℚ(t) with a given primitive nonsolvable permutation group of d...
This project is concerned with the set of primes modulo which some monic, irreducible polynomial ove...
Let p be a prime number, let K|k be a Galois extension of number fields and let S be a finite set of...
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