Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
On Growth of Free Burnside Groups
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Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Uncontrolled Keywords:
Growth of Groups ; Free Burnside Group ; Exponential Growth ; n-Torsion Group
Coverage:
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 ≥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 fnitely generated groups.
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Electronic Open Access Publication of the National Academy of Sciences of Armenia