AbstractIn this paper, we introduce a notion of “Galois average” which allows us to give a suitable answer to the question: how can one extend a finite Galois extension E/F by a prime degree extension N/E to get a Galois extension N/F? Here, N/E is not necessarily a Kummer extension
Given a Galois extension L/K of number fields, we describe fine distribution properties of Frobenius...
AbstractWe investigate the Galois module structure of wildly ramified extensions. We are interested ...
AbstractLet p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K± ...
AbstractIn this paper, we introduce a notion of “Galois average” which allows us to give a suitable ...
AbstractLetpbe an odd prime andna positive integer and letkbe a field of characteristic zero. LetK=k...
In this thesis we consider the following question: Given a finite separable non-Galois extension F/K...
AbstractThe paper gives proofs of some results just claimed in [R. Massy, Galois averages, J. Number...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
The subject of this thesis in the study of nite extensions of p-adic fields, in different aspects....
AbstractWe determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where ...
The subject of this thesis in the study of nite extensions of p-adic fields, in different aspects....
AbstractGiven a number field F and a finite abelian group G≅≎′,i(Z/n,Z), n1|n2|⋯|ni−1|ni, it is prov...
AbstractFor a prime p⩾7 the pth roots of certain modular units are shown to generate the second laye...
AbstractWe introduce a new method for finding Galois groups, by modifying the p-group generation alg...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
Given a Galois extension L/K of number fields, we describe fine distribution properties of Frobenius...
AbstractWe investigate the Galois module structure of wildly ramified extensions. We are interested ...
AbstractLet p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K± ...
AbstractIn this paper, we introduce a notion of “Galois average” which allows us to give a suitable ...
AbstractLetpbe an odd prime andna positive integer and letkbe a field of characteristic zero. LetK=k...
In this thesis we consider the following question: Given a finite separable non-Galois extension F/K...
AbstractThe paper gives proofs of some results just claimed in [R. Massy, Galois averages, J. Number...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
The subject of this thesis in the study of nite extensions of p-adic fields, in different aspects....
AbstractWe determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where ...
The subject of this thesis in the study of nite extensions of p-adic fields, in different aspects....
AbstractGiven a number field F and a finite abelian group G≅≎′,i(Z/n,Z), n1|n2|⋯|ni−1|ni, it is prov...
AbstractFor a prime p⩾7 the pth roots of certain modular units are shown to generate the second laye...
AbstractWe introduce a new method for finding Galois groups, by modifying the p-group generation alg...
AbstractAn upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is ...
Given a Galois extension L/K of number fields, we describe fine distribution properties of Frobenius...
AbstractWe investigate the Galois module structure of wildly ramified extensions. We are interested ...
AbstractLet p be an odd prime, and let K/K0 be a quadratic extension of number fields. Denote by K± ...
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