Must there exist a nontrivial automorphism $\pi$ in $\text{Aut}(G)$?
12455
$|G|>2$ implies $G$ has non trivial automorphism
119648
For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
14447
Direct proof that $\pi$ is not constructible
36965
Automorphism of rational numbers
27746
Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
78835
An automorphism of the field of $p$-adic numbers
39866
Automorphism group of the quaternion group
133664
When the automorphism group is trivial......
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
117151
Conformal automorphism of unit disk that interchanges two given points
10350
Automorphisms of the complex plane
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
141124
Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
151559
Please help: How to show that Aut(G) is a subgroup of Sym(G)
146278
Automorphism group of direct product of groups
130745
Action of finite group of automorphisms on Spec A