Locally Noetherian group
A locally Noetherian group is a group satisfying the following equivalent conditions:
- Every finitely generated subgroup is a Noetherian group.
- Every subgroup of a finitely generated group is a finitely generated group.
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
|Property||Meaning||Proof of implication||Proof of strictness (reverse implication failure)||Intermediate notions|