On Growth of Free Burnside Groups
DOI:
https://doi.org/10.52737/18291163-2025.17.8-1-7Keywords:
Growth of Groups, Free Burnside Group, Exponential Growth, $n$-Torsion GroupAbstract
In his seminal monograph, S. I. Adian established a lower bound on the growth of the free Burnside group $B(2,n)$ for odd $n\geq 665$. Building on Adian's methods, we extend this result to free Burnside groups $B(m,n)$ of arbitrary rank $m\geq 2$. As a consequence, we obtain growth estimates for a broad class of finitely generated groups.
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