# Group in which every periodic subgroup is finite

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 in which every periodic subgroup is finite is a group in which every periodic subgroup (i.e., every subgroup that is a periodic group) is a finite subgroup (i.e., it is a finite group).

## Relation with other properties

### Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
finite group
aperiodic group

### Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
group in which every locally finite subgroup is finite