Group satisfying descending chain condition on subnormal subgroups

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Definition

A group is termed a group satisfying descending chain condition on subnormal subgroups if any descending chain condition on subnormal 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

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
group satisfying descending chain condition on normal subgroups