Proof involving homomorphism between Z^n and an abelian group
33455
Question on group homomorphisms involving the standard Z-basis
73571
Proof of Cauchy's Theorem for abelian groups
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
18343
Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$
60208
Proof of property of abelian group
129162
Show there is a surjective homomorphism from $\mathbb{Z}\ast\mathbb{Z}$ onto $C_2\ast C_3$
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
63136
Prove $G$ is Abelian if $N$ is in the centre of $G$ and $G/N$ is cyclic
85508
Prove that $G$ is an abelian group if $\{(g, g):g\in G\}$ is a normal subgroup.
61732
Prove any group with 3 elements is isomorphic to $\mathbb{Z}_3$
130081
Show that $A_n$ is the kernel of a group homomorphism of $S_n \rightarrow \{−1,1\}$.
39895
Showing a free abelian group is generated by its basis
97565
Quotient group $G/H$ is abelian iff $[G,G] \subseteq H$
120971
(Revised) Prove that $\phi$ is a group homomorphism and find the kernel.
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?
26624
Prove that is group is abelian