Locally residually finite group

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

Definition

A group is termed locally residually finite if every finitely generated subgroup of the group is a residually finite group.

Formalisms

In terms of the locally operator

This property is obtained by applying the locally operator to the property: residually finite group
View other properties obtained by applying the locally operator

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Residually finite group |FULL LIST, MORE INFO
Locally finite group |FULL LIST, MORE INFO
Finite group LERF group, Residually finite group|FULL LIST, MORE INFO