query: Calculate the fixed field of these automorphisms
positive_passages.docid: 153542
positive_passages.text: Fixed Field of $\sigma, \tau$
negative_passages.docid: 30817
negative_passages.text: Is an automorphism of the field of real numbers the identity map?
negative_passages.docid: 111049
negative_passages.text: Groups with given automorphism groups
negative_passages.docid: 83615
negative_passages.text: split conjugacy class in $S_n$ into two equal size conjugacy classes in $A_n$
negative_passages.docid: 13761
negative_passages.text: Automorphisms in $\mathbb{Z}_n$
negative_passages.docid: 90192
negative_passages.text: Kernel and Image of a group homomorphism
negative_passages.docid: 93358
negative_passages.text: Find an example of a non-surjective field endomorphism
negative_passages.docid: 120035
negative_passages.text: Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
negative_passages.docid: 35286
negative_passages.text: number of differents vector space structures over the same field $\mathbb{F}$ on an abelian group
negative_passages.docid: 126513
negative_passages.text: Automorphism of the group of rational numbers under addition
negative_passages.docid: 57221
negative_passages.text: counting the number of elements in a conjugacy class of $S_n$
negative_passages.docid: 89415
negative_passages.text: Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
negative_passages.docid: 79725
negative_passages.text: Fields of arbitrary cardinality
negative_passages.docid: 111168
negative_passages.text: Automorphisms of a finite non-abelian group
negative_passages.docid: 141984
negative_passages.text: Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
negative_passages.docid: 133660
negative_passages.text: When can a homomorphism be determined entirely by its generators
negative_passages.docid: 141911
negative_passages.text: Prove that these two fields are isomorphic.