Group, which doesn't have $\mathrm{Aut}(G)$.
12455
$|G|>2$ implies $G$ has non trivial automorphism
135039
${\rm Aut}(G)$ is cyclic $\implies G$ is abelian
59561
Suppose that G is a group and N < G a normal subgroup. Prove G/N is simple
151699
Group of inner automorphisms of a group $G$
52121
Let $G$ be a finite group with $|G|>2$. Prove that ${\rm Aut}(G)$ contains at least two elements.
57883
Example of a Subgroup That Is Not Normal
106123
Is there a finite abelian group $G$ such that $\textrm{Aut}(G)$ is abelian but $G$ is not cyclic?
14611
$A_4$ has no subgroup of order $6$?
122353
Status of the classification of non-finitely generated abelian groups.
71035
Non abelian subgroup of a abelian group.
80381
Groups with "few" subgroups
24181
Showing that $G$ is a group under an alternative operation.
91021
Torsion elements of a group aren't necessarily a subgroup
156549
Prove that there is no group $G$ s.t. $\operatorname{Aut}(G)=\mathbb{Q}$
133664
When the automorphism group is trivial......
90081
problems in group theory
18160
How to show that the group of nonzero real numbers under multiplication is not isomorphic to the group of real numbers under addition?