TORSION HOMOLOGY GROWTH OF POLYNOMIALLY GROWING FREE-BY-CYCLIC GROUPS
We show that the homology torsion growth of a free-by-cyclic group with polynomially growing monodromy vanishes in every dimension independently of the choice of Farber chain. It follows that the integral torsion ρℤ equals the ℓ2-torsion ρ(2) verifying a conjecture of Lück for these groups.
Authors
- Naomi Andrew (ORCID: https://orcid.org/0000-0001-8399-8846)
- Monika Kudlinska (ORCID: https://orcid.org/0000-0003-2733-5612)
- Sam Hughes (ORCID: https://orcid.org/0000-0002-9992-4443)
Publication Details
- Journal
- Rocky Mountain Journal of Mathematics
- Published
- 2024-08-01
- DOI
- https://doi.org/10.1216/rmj.2024.54.933
- Citations
- 5
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.05