Does there exist a nontrivial abelian group $A$ such that $\mathrm{Aut}(A) \cong A$?
46263
Automorphisms of infinite abelian groups
70298
Are quotients of chain groups $C_n(X)/C_n(A)$ still free?
92493
If $G$ is non-abelian, then $Inn(G)$ is not a normal subgroup of the group of all bijective mappings $G \to G$
119648
For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
90332
Prove that that $U(n)$ is an abelian group.
117815
Non-abelian group $G$ satisfying $(a \cdot b)^i=a^i \cdot b^i,$ for two consecutive integers.
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
4838
For $N\unlhd G$ , with $C_G(N)\subset N$ we have $G/N$ is abelian
135701
An example of a group such that $G \cong G \times G$
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
105818
Given an associative $F$-algebra do there necessarily exist elements $a_1,a_2 \in K$ satisfying $a_1*a_2=a$?
150188
Construct a non-abelian group of order 75
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
157841
Existence of a non-abelian group of order $p^n$.
135039
${\rm Aut}(G)$ is cyclic $\implies G$ is abelian