Year: 2025
Type: article
Abstract: 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.
Source: Armenian Journal of Mathematics
Author: Arman Bayramyan
Institution: Yerevan State University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413354568