query: Problem with a Galois extension
positive_passages.docid: 12524
positive_passages.text: Galois group of $x^3 - 2 $ over $\mathbb Q$
negative_passages.docid: 116955
negative_passages.text: Showing the existence of a certain kind of extension of a finitely generated algebra
negative_passages.docid: 24168
negative_passages.text: A characterisation of quadratic extensions contained in cyclic extensions of degree 4
negative_passages.docid: 146617
negative_passages.text: A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
negative_passages.docid: 56551
negative_passages.text: Multiplicative group of field extension over base field
negative_passages.docid: 95602
negative_passages.text: Computing the Galois group of $x^4+ax^2+b \in \mathbb{Q}[x] $
negative_passages.docid: 150329
negative_passages.text: Simple extension fields
negative_passages.docid: 120459
negative_passages.text: Problem with finding the GCD in the Field of Polynomials mod p
negative_passages.docid: 41815
negative_passages.text: Galois extension of intersection of fields
negative_passages.docid: 1060
negative_passages.text: Minimal polynomial of intermediate extensions under Galois extensions.
negative_passages.docid: 63390
negative_passages.text: Infinite algebraic extensions of $\mathbb{Q}$
negative_passages.docid: 126127
negative_passages.text: A field extension of prime degree
negative_passages.docid: 106737
negative_passages.text: A problem on field extension
negative_passages.docid: 25891
negative_passages.text: GCD in polynomial rings with coefficients in a field extension
negative_passages.docid: 128550
negative_passages.text: Algebraic field extension and intermediate integral domain
negative_passages.docid: 146446
negative_passages.text: Infinite Degree Algebraic Field Extensions
negative_passages.docid: 80538
negative_passages.text: Fields extensions over isomorphic fields of different degrees