Is every normal subgroup the kernel of some self-homomorphism?
104505
Is every normal subgroup the kernel of some endomorphism?
97928
Normal subgroup of a normal subgroup
106347
Why is the image of a homomorphism a subgroup of the codomain?
11731
Normal subgroups of $S_4$
80186
How to show that $K\leq S_4$ is a normal subgroup?
88199
The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
12589
Show that every subgroup of the quaternion group Q is a normal subgroup of Q
143429
Kernel of ring homomorphism $k[X,Y] \rightarrow k[t^2, t^3]$
27670
Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
29453
An epimorphism from $S_{4}$ to $S_{3}$ having the kernel isomorphic to Klein four-group
113925
Normal Subgroup Counterexample
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $
44165
the image of normal subgroups
121257
Image of Homomorphism of Lie groups
54911
The preimage of a normal subgroup under a group homomorphism is normal
38691
Injectivity of Homomorphism in Localization
133660
When can a homomorphism be determined entirely by its generators