Quotient group in finite abelian group.
133770
Subgroups of finite abelian groups.
42153
Every finite abelian group is the Galois group of some finite extension of the rationals
108330
Product of all elements in finite abelian group equals its own inverse
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.
97565
Quotient group $G/H$ is abelian iff $[G,G] \subseteq H$
36882
Two finite abelian groups with the same number of elements of any order are isomorphic
122335
Abelian $p$-group with unique subgroup of index $p$
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite
149750
Help understanding Fundamental Theorem of Finite Abelian Groups
61526
An exercise about nilpotent quotient groups
143550
Order of product of two elements in an abelian group
145563
In an abelian group, the elements of finite order form a subgroup.
58707
Prove Quotient Group Isomorphism
110708
On proving that a finitely generated group has a finite number of subgroups with index $n$.
26624
Prove that is group is abelian
13355
Product of elements of a finite abelian group