Distortion in graphs of groups and rapid decay classification of $3$-manifold groups
Year: 2024
Type: article
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 graph of groups.
DOI: 10.4171/jncg/589
Authors: Indira Chatterji, François Gautero
Institution: Université Côte d'Azur
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4401514189