On the Word and Period Growth of some Groups of Tree Automorphisms
Group Theory
2009-11-27 v2
Abstract
We generalize a class of groups defined by Rostislav Grigorchuk to a much larger class of groups, and provide upper and lower bounds for their word growth (they are all of intermediate growth) and period growth (under a small additional condition, they are periodic).
Keywords
Cite
@article{arxiv.math/0005113,
title = {On the Word and Period Growth of some Groups of Tree Automorphisms},
author = {Laurent Bartholdi and Zoran Sunik},
journal= {arXiv preprint arXiv:math/0005113},
year = {2009}
}
Comments
to appear in Comm. Algebra