Image of a self-normalizing subgroup under a surjective homomorphism
94571
How can we prove that $N_G(H)=H$ implies $N_{f(G)}(f(H))=f(H)$
47692
Homomorphic image of a Sylow p-subgroup is Sylow p-subgroup.
33455
Question on group homomorphisms involving the standard Z-basis
80186
How to show that $K\leq S_4$ is a normal subgroup?
123610
How to show that the commutator subgroup is a normal subgroup
101064
Showing the triviality of homomorphisms
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
61373
A normal subgroup that is not a characteristic
151699
Group of inner automorphisms of a group $G$
109236
Subgroups containing kernel of group morphism to an abelian group are normal.
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
38691
Injectivity of Homomorphism in Localization
125244
Equivalent definitions of normal subgroups
150961
An example for a homomorphism that is not an automorphism
47623
The set of all complex homomorphisms of abelian group $G$ has the same structure as $G$
152603
Group isomorphic to its automorphism group
2174
Proving that HK is a subgroup when K is normal