Homomorphisms between two universal free groups
88930
Homomorphism between free groups
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
84132
Number of preimages of a group element under a homomorphism.
101064
Showing the triviality of homomorphisms
64048
Describe all ring homomorphisms
7938
Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
106347
Why is the image of a homomorphism a subgroup of the codomain?
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
150961
An example for a homomorphism that is not an automorphism
13717
Homomorphisms from $S_4$ to $\mathbb Z_2$
111168
Automorphisms of a finite non-abelian group
66180
Homomorphism between compact Hausdorff spaces.
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?
111375
Normality of subgroups and Sylow groups under homomorphisms...
58766
free groups: $F_X\cong F_Y\Rightarrow|X|=|Y|$