Distortion in graphs of groups and rapid decay classification of $3$-manifold groups
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.
Authors
- Indira Chatterji (ORCID: https://orcid.org/0000-0002-8874-6231)
- François Gautero (ORCID: https://orcid.org/0009-0003-6305-206X)
Institutions
- Université Côte d'Azur (FR)
- Observatoire de la Côte d’Azur (FR)
Publication Details
- Journal
- Journal of Noncommutative Geometry
- Published
- 2024-08-12
- DOI
- https://doi.org/10.4171/jncg/589
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00