 Tarski monster group

An infinite group whose every proper nontrivial subgroup is cyclic of a fixed prime order $p$. Such groups exist for sufficiently large primes. This subgroup condition is stronger than the condition that every nonidentity element has order $p$.

// Target: algebra.bigb

A Tarski monster group is a specific type of mathematical group that has some intriguing properties, particularly in the field of group theory. Specifically, a Tarski monster group is an infinite group in which every non-trivial subgroup has a prime order \( p \).