Group homomorphism and integers
62454
Let $f : G → G_1$ be a surjective homomorphism (also called epimorphism) from $G$ to another group $G_1$. Prove that $f(Z(G)) \subseteq Z(G_1)$.
130706
Group presentations and the Dihedral Group
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
46116
Proof of the First Isomorphism Theorem for Groups
140557
Counting ring homomorphisms from $\mathbb{Z}[x,y]/(x^3+y^2-1)$ to $\mathbb{Z_7}$
90192
Kernel and Image of a group homomorphism
7938
Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
117744
$p$-Sylow in quotient groups
118293
Strategy for determining the number of homomorphisms between two Groups
83710
Order of a homomorphism of groups
99538
Non-trivial groups pairwise non-isomorphic with isomorphic direct products
143451
Homomorphism from $(\Bbb Q,+)$ to a finite group
126513
Automorphism of the group of rational numbers under addition
54911
The preimage of a normal subgroup under a group homomorphism is normal
18343
Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $