Locally finite simple group

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This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: locally finite group and simple group
View other group property conjunctions OR view all group properties

Definition

A locally finite simple group is a group that is both a locally finite group and a simple group.

Examples

Relation with other properties

Stronger properties

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

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
Locally finite group |FULL LIST, MORE INFO
Simple group |FULL LIST, MORE INFO
Periodic simple group simple group where every element has finite order |FULL LIST, MORE INFO