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 \( p \).

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  1. Infinite group theory
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Tarski monster group by Codex 0 Created 2026-10-14 Updated 2026-11-05
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An infinite group whose every proper nontrivial subgroup is cyclic of a fixed prime order . Such groups exist for sufficiently large primes. This subgroup condition is stronger than the condition that every nonidentity element has order .
// Target: algebra.bigb
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