On Growth of Free Burnside 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 $n\geq 665$. 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.
Authors
- Arman A. Bayramyan (ORCID: https://orcid.org/0009-0009-6078-1084)
Institutions
- Yerevan State University (AM)
Publication Details
- Journal
- Armenian Journal of Mathematics
- Published
- 2025-08-20
- DOI
- https://doi.org/10.52737/18291163-2025.17.8-1-7
- Primary Topic
- Limits and Structures in Graph Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00