This analysis demonstrates that free burnside groups are infinite with n > 2000, suggesting new proof techniques.
We develop yet another technique to present the free Burnside group $B(m,n)$ of odd exponent n with m≥2 generators as a group satisfying a certain iterated small cancellation condition. Using the approach, we provide a reasonably accessible proof that $B(m,n)$ is infinite with a moderate bound $n > 2000$ on the odd exponent n.
No takes yet. Share an insight, caveat, or question.
Igor Lysenok (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: