Properties of a set of all isomorphisms $ f: G \to G $
3462
Proving a set of automorphisms of a group is a group under composition
115663
Proving an isomorphism using the isomorphism theorems
47623
The set of all complex homomorphisms of abelian group $G$ has the same structure as $G$
73988
Characterize the groups $G$ for which the map $\iota: G \to G$, sending $x \mapsto x^{-1}$ for all $x \in G$, is an automorphism of $G$
55778
Group theoretic meaning of natural isomorphisms between certain functors
148881
Aut(GxH) isomorphic to Aut(G)xAut(H)
25728
A second isomorphism theorem for action on cosets
36980
Prove the third isomorphism theorem
106809
$f: G→G$ defined by $f(x) =x^2$ is a homomorphism if and only if $G$ is abelian.
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
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?
134458
Isomorphisms preserving integral domains and fields
111049
Groups with given automorphism groups
94571
How can we prove that $N_G(H)=H$ implies $N_{f(G)}(f(H))=f(H)$
64372
Do the isomorphism's of groups form an equivalence relation on the class of all groups?
116594
Finite fields are isomorphic