Can $g_0 \mapsto g_0^{-1}$ always be extended to an automorphism?
126771
Group element not taken to its inverse by any automorphism
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
78222
Can any monomorphism of a subfield of a splitting field be extended to an automorphism?
23579
If $G$ is isomorphic to $H$, then ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$
113671
Frobenius Automorphism as a linear map
78835
An automorphism of the field of $p$-adic numbers
34700
Proving that the matrix exponential map is surjective onto the general linear group
114811
Characteristic subgroups and automorphisms
24914
Does every continuous map from $\mathbb{Q}$ to $\mathbb{Q}$ extends continuously as a map from $\mathbb{R}$ to $\mathbb{R}$?
121244
Homomorphisms and automorphisms on polynomial rings
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
78950
Does this map extend to a unique automorphism of the polynomial ring of an integral domain?
148881
Aut(GxH) isomorphic to Aut(G)xAut(H)
111168
Automorphisms of a finite non-abelian group
3462
Proving a set of automorphisms of a group is a group under composition
27746
Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
117897
A homomorphism induces a continuous map from ${\rm Spec}(A') \to {\rm Spec}(A)$.