Imbeddings into groups of intermediate growth
Group Theory
2015-01-29 v2 Functional Analysis
Abstract
Every countable group that does not contain a finitely generated subgroup of exponential growth imbeds in a finitely generated group of subexponential growth. This produces in particular the first examples of groups of subexponential growth containing the additive group of the rationals.
Cite
@article{arxiv.1403.5584,
title = {Imbeddings into groups of intermediate growth},
author = {Laurent Bartholdi and Anna Erschler},
journal= {arXiv preprint arXiv:1403.5584},
year = {2015}
}
Comments
Compared to v1, some typos corrected, and the part on distortion split off to arXiv:1406.5908