If G is a commutative group, then Z(G)
66510
A group is abelian if and only if the center of the group is all the group
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
16476
Order of the product of two commuting elements with coprime orders in a group.
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
132280
Let $G$ be a group of order 35. Show that $G \cong Z_{35}$
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?
90437
Let $G = \langle a\rangle$ a cyclic group of order m. Prove that G is isomorphic with $Z_m$.
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.
90811
If $[G' : G'']\leq p^2$, then $G'$ is abelian.
76317
Let $C$ be the commutator subgroup of $G$. Prove that $G/C$ is abelian
102146
If a group mod its commutator subgroup is cyclic, then the group is abelian?
42891
Prove that $Z(G)$ which is the center of $G$ is a subgroup of $G$
158490
Prove that $G^{op} \cong G$ when $G^{op}$ is the opposite group of G
144988
Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
24181
Showing that $G$ is a group under an alternative operation.