A few questions on $\mathrm{Aut}(G)$ when $G$ is finite
91774
Existence of group $G$ with $|G|>2$ and automorphism group of odd order
103216
The set $\{g^2 | g \in G\}$ in a group $G$
64408
Subgroup of $\mathbb{Q}$ with finite index
41895
Show $\text{Hom}_{Ab}(A,\mathbb{Q}) = \{0\}$ for finite $A$
137931
Problem from "The Theory of Finite Groups" by Kurzweil and Stellmacher
158590
Why is it that if $[L:K]$ is finite, then $[L:K]$ is algebraic?
76685
Determine $\text{Aut}(S)$ where $S = \mathbb{Q}[x]/(x^2)$
9612
Frattini subgroup $Φ ( G )$ is not trivial
65900
Show that a finite group with certain automorphism is abelian
139100
A question on the group algebra $k[G]$ of a finite abelian group
123847
Cardinality of $GL_n(K)$ when $K$ is finite
76694
Proving that $UT=TU$ iff $U=g(T)$ for some polynomial $g$
129732
What is $\operatorname{Aut}(\mathbb{Z}_2\oplus \mathbb{Z}_2)$?
117206
$|G|$ and $|{\rm Aut}(G)|$ are relatively prime $\Rightarrow$ $G$ should be cyclic?
135808
Show that there is a positive integer $n$ such that $G \cong \ker(\phi^{n}) \times \phi^{n}(G)$
13355
Product of elements of a finite abelian group
2235
Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$