Group satisfying descending chain condition on normal subgroups

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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