On growth of generalized Grigorchuk's overgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Author: Samarakoon, S.T.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188556
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On growth of generalized Grigorchuk's overgroups / S.T. Samarakoon // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 97–117. — Бібліогр.: 20 назв. — англ.

Grigorchuk’s Overgroup Ĝ, is a branch group of intermediate growth. It contains the first Grigorchuk’s torsion group G of intermediate growth constructed in 1980, but also has elements of infinite order. Its growth is substantially greater than the growth of G. The group G, corresponding to the sequ...