A criterion for a group to be abelian
26148
A group such that $a^m b^m = b^m a^m$ and $a^n b^n = b^n a^n$ ($m$, $n$ coprime) is abelian?
23394
If $G/Z(G)$ is cyclic, then $G$ is abelian
24966
Converse of Lagrange's theorem for abelian groups
11003
Proving that $G/N$ is an abelian group
133770
Subgroups of finite abelian groups.
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite
98647
$G$ is Topological $\implies$ $\pi_1(G,e)$ is Abelian
27703
an example of a non-abelian group $G$ containing a proper normal subgroup $N$ such that $G/N$ is abelian.
26624
Prove that is group is abelian
57809
For which $n$, $G$ is abelian?
125640
Group of order $p^2$ is abelian.
68733
If $G/Z(G)$ is cyclic then $G$ is abelian – what is the point?
31380
Exponent and abelian groups
122353
Status of the classification of non-finitely generated abelian groups.
90332
Prove that that $U(n)$ is an abelian group.
3838
If a group satisfies $x^3=1$ for all $x$, is it necessarily abelian?
68971
Elementary approach to proving that a group of order 9 is Abelian