query: Galois correspondence of the extension $\mathbb{Q}(\zeta_{28})/\mathbb{Q}$
positive_passages.docid: 146617
positive_passages.text: A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
negative_passages.docid: 120594
negative_passages.text: $\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
negative_passages.docid: 157597
negative_passages.text: Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
negative_passages.docid: 99884
negative_passages.text: Are $\mathbb{Q}_p$ and $\mathbb{Q}_q$ homeomorphic?
negative_passages.docid: 36997
negative_passages.text: Galois Groups of Finite Extensions of Fixed Fields
negative_passages.docid: 129153
negative_passages.text: Is it Galois extension?
negative_passages.docid: 28313
negative_passages.text: Intermediate ring between a field and an algebraic extension.
negative_passages.docid: 109596
negative_passages.text: Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
negative_passages.docid: 34599
negative_passages.text: Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
negative_passages.docid: 80295
negative_passages.text: Field extensions and algebraic/transcendental elements
negative_passages.docid: 82328
negative_passages.text: Constructing a Galois extension field with Galois group $S_n$
negative_passages.docid: 95563
negative_passages.text: Galois group of a biquadratic quartic
negative_passages.docid: 121301
negative_passages.text: What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
negative_passages.docid: 97009
negative_passages.text: Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
negative_passages.docid: 1060
negative_passages.text: Minimal polynomial of intermediate extensions under Galois extensions.
negative_passages.docid: 622
negative_passages.text: Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
negative_passages.docid: 90433
negative_passages.text: Isomorphisms between $(\mathbb Z_4,+)$ and $(U_5,*)$