# Tarski monster group

> infinite group whose proper nontrivial subgroup are all cyclic groups, whose orders all equal a fixed prime number

**Wikidata**: [Q7686763](https://www.wikidata.org/wiki/Q7686763)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Tarski_monster_group)  
**Source**: https://4ort.xyz/entity/tarski-monster-group