If G is Abelian group
23394
If $G/Z(G)$ is cyclic, then $G$ is abelian
106809
$f: G→G$ defined by $f(x) =x^2$ is a homomorphism if and only if $G$ is abelian.
103216
The set $\{g^2 | g \in G\}$ in a group $G$
71035
Non abelian subgroup of a abelian group.
51352
Subgroups of a finite abelian group
4838
For $N\unlhd G$ , with $C_G(N)\subset N$ we have $G/N$ is abelian
63136
Prove $G$ is Abelian if $N$ is in the centre of $G$ and $G/N$ is cyclic
76317
Let $C$ be the commutator subgroup of $G$. Prove that $G/C$ is abelian
27905
Let $G$ be a group, where $(ab)^3=a^3b^3$ and $(ab)^5=a^5b^5$. Prove that $G $ is an abelian group.
68733
If $G/Z(G)$ is cyclic then $G$ is abelian – what is the point?
134858
Abelian Group Homomorphism
119512
If H ≤ Z(G) ≤ G, where G is a finite group,Z(G) is its center, and (G:H) = p for some prime p, then G is abelian.
59128
If $|\lbrace g \in G: \pi (g)=g^{-1} \rbrace|>\frac{3|G|}{4}$, then $G$ is an abelian group.
71420
Prove that a group is abelian.
106577
If G is not abelian with order $p^3$ then $G'=Z(G)$
11003
Proving that $G/N$ is an abelian group
74964
Showing Galois Group is Abelian