Proof involving homomorphism between $\Bbb Z^n$ and an abelian group G
33455
Question on group homomorphisms involving the standard Z-basis
65900
Show that a finite group with certain automorphism is abelian
48393
Abelian groups of order n.
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
27728
Question on a homomorphism of a set G.
24966
Converse of Lagrange's theorem for abelian groups
27670
Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
94090
How to show that for any abelian group $G$, $\text{Hom}(\mathbb{Z},G)$ is isomorphic to $G$
119648
For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
39895
Showing a free abelian group is generated by its basis
32108
$ a\in \Bbb Z_n$ is invertible $\,\Rightarrow\gcd (a,n) =1$
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
33387
Proof that $n\Bbb Z \leq \Bbb Z$ and are the only subgroups of $\Bbb Z$
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
157915
Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$
137896
Isomorphism equivalence implies fundamental group is abelian
146969
Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$