Relation between an Abelian subgroup of a group and center of the group.
13742
Proving that a normal, abelian subgroup of G is in the center of G if |G/N| and |Aut(N)| are relatively prime.
33728
Basis for Center of Group Ring
24966
Converse of Lagrange's theorem for abelian groups
84789
Order of products of elements in a finite Abelian group
18415
Direct sum of Abelian groups and Isomorphism
39938
Subgroups of a cyclic group and their order.
12502
The center of a non-Abelian group of order 8
11393
The center of the dihedral group
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
48393
Abelian groups of order n.
7418
The Center of $\operatorname{GL}(n,k)$
124709
Suppose G be a non-abelian group and H,K be two abelian subgroups of G. Then must HK be an abelian subgroup of G?
138410
Centralizer of $\mathbb{C}[G]$ in $\mathbb{C}[H]$
122335
Abelian $p$-group with unique subgroup of index $p$
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
37971
Prove that the center of a group is a normal subgroup
138406
If N and every subgroup of N is normal in G then G/N is abelian .