The center of a direct product of groups and Abelian groups
72926
Center of Direct Product is the Direct Product of Centers
59211
Product of Finite Abelian Group
66806
A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
113259
The confusing nature of direct sum for finite abelian groups
33294
The correspondence theorem for groups
8742
Examples and further results about the order of the product of two elements in a group
120097
Reference Request: Abelianization of free product is the direct sum of abelianizations
25832
Let $K$ be a normal subgroup of order 2 in group $G$, show that $K$ lies in the centre of $G$
129610
Why is the direct product of a finite number of nilpotent groups nilpotent?
16476
Order of the product of two commuting elements with coprime orders in a group.
85222
Direct sum of finitely-many non-abelian groups
45028
How to show that $\langle a \rangle$ is a subgroup of a group $G$, where $a$ is in center of the group $G$
104509
The center of $A_n$ is trivial for $n \geq 4$
72932
Center of Lie group and Lie algebra
147298
How to find all subgroups of a direct product?
144988
Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
43783
Abelian group (Commutative group)