Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups
Group Theory
2024-06-11 v3
Abstract
The fundamental group of a closed irreducible 3-dimensional manifold has the Rapid Decay property if and only if it is not virtually Sol. This is proved by studying distortion of length functions in graphs of groups, and the stability of the Rapid Decay property in polynomially distorted graphs of groups.
Keywords
Cite
@article{arxiv.2401.14803,
title = {Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups},
author = {Indira Chatterji and François Gautero},
journal= {arXiv preprint arXiv:2401.14803},
year = {2024}
}
Comments
28 pages, 3 figures. Minor modifications: typos, additional references, acknowledgements. To be published in Journal of Noncommutative Geometry