Growth of groups with linear Schreier graphs
Group Theory
2022-05-05 v1
Abstract
We introduce a new method of proving upper estimates of growth of finitely generated groups and constructing groups of intermediate growth using graphs of their actions. These estimates are of the form for some , and provide the first examples of such bounds for simple groups of intermediate growth.
Cite
@article{arxiv.2205.01792,
title = {Growth of groups with linear Schreier graphs},
author = {Laurent Bartholdi and Volodymyr Nekrashevych and Tianyi Zheng},
journal= {arXiv preprint arXiv:2205.01792},
year = {2022}
}