Group satisfying descending chain condition on normal subgroups

Definition

A group is termed a group satisfying descending chain condition on normal subgroups if any descending chain condition on normal subgroups stabilizes after a finite length.

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Relation with other properties

Stronger properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
Artinian group