Finite group automorphism must be $x\mapsto x^{-1}$
59128
If $|\lbrace g \in G: \pi (g)=g^{-1} \rbrace|>\frac{3|G|}{4}$, then $G$ is an abelian group.
27670
Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
111049
Groups with given automorphism groups
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
130745
Action of finite group of automorphisms on Spec A
113671
Frobenius Automorphism as a linear map
105103
Automorphism from $\Bbb Q$ to $\Bbb Q$
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
137816
Automorphism on integers
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
72991
Is every group the automorphism group of a group?
110292
Automorphism group of finite $k$-algebra as an affine variety
2104
Finite group for which $|\{x:x^m=e\}|\leq m$ for all $m$ is cyclic.
67234
The function $G: x \mapsto 2^{x^2}$ maps $\mathbb{R}$ onto $\{ x \in \mathbb{R} : x \geq 1 \}$
103801
$xT=x$ iff $x=e$ implies that every $g$ may be written as $x^{-1}(xT)$ for some $x\in G$.