Abelian subgroup

Definition
A subgroup of a group is termed an abelian subgroup if it is abelian as a group.

Conjunction with other properties

 * Weaker than::Central subgroup: An Abelian subgroup that is also a central factor.
 * Weaker than::Abelian normal subgroup: An Abelian subgroup that is also a normal subgroup.
 * Weaker than::Abelian characteristic subgroup: An Abelian subgroup that is also a characteristic subgroup.
 * Weaker than::Maximal among Abelian subgroups: An Abelian subgroup that is also a self-centralizing subgroup.

Stronger properties

 * Weaker than::Central subgroup
 * Weaker than::Cyclic subgroup