query: Galois field isomorphism
positive_passages.docid: 115129
positive_passages.text: Constructing an explicit isomorphism between finite extensions of finite fields
negative_passages.docid: 140865
negative_passages.text: Rings' second isomorphism theorem
negative_passages.docid: 28576
negative_passages.text: Galois Groups are isomorphic to subgroups of symmetric groups.
negative_passages.docid: 100439
negative_passages.text: Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
negative_passages.docid: 8602
negative_passages.text: Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
negative_passages.docid: 73669
negative_passages.text: Totally real Galois extension of given degree
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: 25793
negative_passages.text: Extension fields isomorphic to fields of matrices
negative_passages.docid: 41815
negative_passages.text: Galois extension of intersection of fields
negative_passages.docid: 6171
negative_passages.text: Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
negative_passages.docid: 157915
negative_passages.text: Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$
negative_passages.docid: 116628
negative_passages.text: Example of Galois extension whose Galois group is $A_4$
negative_passages.docid: 95602
negative_passages.text: Computing the Galois group of $x^4+ax^2+b \in \mathbb{Q}[x] $
negative_passages.docid: 110808
negative_passages.text: Isomorphisms preserve cyclic
negative_passages.docid: 34990
negative_passages.text: Ring homomorphism defined on a field
negative_passages.docid: 40400
negative_passages.text: Finding an isomorphism between $\mathbb{Z}[i]/(7)$ and $\mathbb{Z}[\sqrt{-2}]/(7)$
negative_passages.docid: 104634
negative_passages.text: Galois extension is (not) transitive