Add to ORKGIf Q./F is a Galois extension with Galois group G and /x(fi) denotes the group of roots of unity in Q, we use the group Z1{G,fi(Q)) of crossed homomorphisms to study radical extensions inside Q. Furthermore, we characterise cubic radical extensions, and we provide an example to show that this result can not be extended for higher degree extensions. 1
Galois Theory, a wonderful part of mathematics with historical roots date back to the solution of cu...
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...
AbstractWe extend to arbitrary finite radical extensions the results of Barrera-Mora and Velez (J. A...
Contains fulltext : 32897.pdf (publisher's version ) (Open Access)The use of symbo...
This is a report on joint work of the author with S. C. Featherstonhaugh and L. N. Childs, and expan...
We investigate the first two Galois cohomology groups of p-extensions over a base field which does n...
AbstractWe generalize the classical construction of crossed product algebras defined by finite Galoi...
We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that ...
AbstractLetpbe an odd prime andna positive integer and letkbe a field of characteristic zero. LetK=k...
In this note we present one of the fundamental theorems of algebra, namely Galois's theorem concerni...
Let K/F be a separable extension. (i) If K = F(α) with αⁿ ∈ F for some n, K/F is said to be a radica...
AbstractLet k be a field. A radical abelian algebra over k is a crossed product (K/k,α), where K=k(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...
It is well known that the Galois group of an extension L/F puts con-straints on the structure of the...
Galois Theory, a wonderful part of mathematics with historical roots date back to the solution of cu...
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...
AbstractWe extend to arbitrary finite radical extensions the results of Barrera-Mora and Velez (J. A...
Contains fulltext : 32897.pdf (publisher's version ) (Open Access)The use of symbo...
This is a report on joint work of the author with S. C. Featherstonhaugh and L. N. Childs, and expan...
We investigate the first two Galois cohomology groups of p-extensions over a base field which does n...
AbstractWe generalize the classical construction of crossed product algebras defined by finite Galoi...
We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that ...
AbstractLetpbe an odd prime andna positive integer and letkbe a field of characteristic zero. LetK=k...
In this note we present one of the fundamental theorems of algebra, namely Galois's theorem concerni...
Let K/F be a separable extension. (i) If K = F(α) with αⁿ ∈ F for some n, K/F is said to be a radica...
AbstractLet k be a field. A radical abelian algebra over k is a crossed product (K/k,α), where K=k(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...
It is well known that the Galois group of an extension L/F puts con-straints on the structure of the...
Galois Theory, a wonderful part of mathematics with historical roots date back to the solution of cu...
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...