Group in which every normal subgroup is a central factor

Definition
A group in which every normal subgroup is a central factor is a group satisfying the following equivalent conditions:


 * 1) Every normal subgroup is a central factor: In other words, the product of any normal subgroup and its centralizer is the whole group.
 * 2) Every subnormal subgroup is a central factor: In other words, the product of any subnormal subgroup and its centralizer is the whole group.

Stronger properties

 * Weaker than::Group in which every proper normal subgroup is central
 * Weaker than::Quasisimple group
 * Weaker than::Abelian group

Weaker properties

 * Stronger than::T-group