AbstractGiven a number field F and a finite abelian group G≅≎′,i(Z/n,Z), n1|n2|⋯|ni−1|ni, it is proven that there exists an extension K/F which is Galois and cogalois with Gal(K/F) ≅ cog(K/F) ≅ G iff the primitive n1 1-th roots of unity are present in F and the field obtained by adjoining the n1-th roots of unity to F is pure over F
Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, eg th...
AbstractLet n ≥ 1 and μi ≥ 0 for 1 ≤ i ≤ n. We prove that to each group G = Z2ν1μ1 × ⋯ × Z2νnμn with...
We investigate the first two Galois cohomology groups of p-extensions over a base field which does n...
AbstractGiven a number field F and a finite abelian group G≅≎′,i(Z/n,Z), n1|n2|⋯|ni−1|ni, it is prov...
AbstractGiven a number field F and an arbitrary allowable group G, we find necessary and sufficient ...
Abstract. There is a standard correspondence between elements of the cohomology group H 1 (F, µn) (w...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
AbstractLet E/F be a field extension and let G=Aut(E/F). E/F is said to allow a Galois theory if the...
Galois Theory, a wonderful part of mathematics with historical roots date back to the solution of cu...
AbstractGiven a finite group G, what are the necessary and sufficient conditions on a field K for it...
AbstractA held extension K ⊆ L is said to be an extension with G-Cogalois correspondence if there ex...
AbstractA held extension K ⊆ L is said to be an extension with G-Cogalois correspondence if there ex...
AbstractLetpbe a prime number,Ka field with characteristic notpand containing thepth roots of unity,...
Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, eg th...
AbstractLet n ≥ 1 and μi ≥ 0 for 1 ≤ i ≤ n. We prove that to each group G = Z2ν1μ1 × ⋯ × Z2νnμn with...
We investigate the first two Galois cohomology groups of p-extensions over a base field which does n...
AbstractGiven a number field F and a finite abelian group G≅≎′,i(Z/n,Z), n1|n2|⋯|ni−1|ni, it is prov...
AbstractGiven a number field F and an arbitrary allowable group G, we find necessary and sufficient ...
Abstract. There is a standard correspondence between elements of the cohomology group H 1 (F, µn) (w...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
AbstractLet E/F be a field extension and let G=Aut(E/F). E/F is said to allow a Galois theory if the...
Galois Theory, a wonderful part of mathematics with historical roots date back to the solution of cu...
AbstractGiven a finite group G, what are the necessary and sufficient conditions on a field K for it...
AbstractA held extension K ⊆ L is said to be an extension with G-Cogalois correspondence if there ex...
AbstractA held extension K ⊆ L is said to be an extension with G-Cogalois correspondence if there ex...
AbstractLetpbe a prime number,Ka field with characteristic notpand containing thepth roots of unity,...
Let B be a Galois algebra with Galois group G, Jg={b∈B|bx=g(x)b for all x∈B} for each g∈G, eg th...
AbstractLet n ≥ 1 and μi ≥ 0 for 1 ≤ i ≤ n. We prove that to each group G = Z2ν1μ1 × ⋯ × Z2νnμn with...
We investigate the first two Galois cohomology groups of p-extensions over a base field which does n...
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