Example of a homomorphism of $G$ onto $G$ that isn't $1-1$?
27436
Does $G\cong G/H$ imply that $H$ is trivial?
129452
Groups $G,H$ with surjective homomorphisms that are quotient of each other
152306
Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.
52556
Isomorphism of $S^1$.
59902
Example of $2$ non-isomorphic groups that have the same quotients
125582
Let $\phi:G_1\to G_2$ be a group homomorphism. Show $\phi(g^{-1})=(\phi(g))^{-1}$.
111375
Normality of subgroups and Sylow groups under homomorphisms...
12455
$|G|>2$ implies $G$ has non trivial automorphism
126065
Example $g\circ f=id_A$ but $f\circ g\neq id_B$
41363
when is f@g not the same as f[g]?
57732
Rings of fractions and homomorphisms
148616
When is a ring homomorphism $A \to A$ surjective but not injective.
134858
Abelian Group Homomorphism
43004
Why are there $|G/G'|$ 1-dimensional representations of $G$?
108691
Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.
135701
An example of a group such that $G \cong G \times G$
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $