This work extends lower bound growth insights for free Burnside groups, suggesting applications for finitely generated groups.
In his seminal monograph, S. I. Adian established a lower bound on the growth of the free Burnside group $B(2,n)$ for odd n≥ 665. Building on Adian's methods, we extend this result to free Burnside groups $B(m,n)$ of arbitrary rank m≥ 2. As a consequence, we obtain growth estimates for a broad class of finitely generated groups.
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Arman A. Bayramyan (2025) studied this question.
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