Non-cyclic Field Automorphism Group
117789
Computing Galois Group of $\mathbb{Q}(\sqrt{2},\sqrt{3}):\mathbb{Q}$
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$
46263
Automorphisms of infinite abelian groups
98155
Free products of cyclic groups
130745
Action of finite group of automorphisms on Spec A
104460
When a group is cyclic
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order
8623
Finite subgroups of the multiplicative group of a field are cyclic
106123
Is there a finite abelian group $G$ such that $\textrm{Aut}(G)$ is abelian but $G$ is not cyclic?
58014
Prove or disprove: The automorphism group of a finite cyclic group must be cyclic.
56551
Multiplicative group of field extension over base field
124455
Why multiplicative group $\mathbb{Z}_n^*$ is not cyclic for $n = 2^k$ and $k \ge 3$
62035
Order of automorphism group of cyclic group
137816
Automorphism on integers
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
110292
Automorphism group of finite $k$-algebra as an affine variety
150961
An example for a homomorphism that is not an automorphism