Locally residually finite group

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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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				|FULL LIST, MORE INFO