Work

Torsion Homology Growth of Polynomially Growing Free-by-cyclic Groups

Year: 2024

Type: article

Abstract: 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.

Source: Rocky Mountain Journal of Mathematics

DOI: 10.1216/rmj.2024.54.933

Authors: Naomi Andrew, Sam Hughes, Monika Kudlinska

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Engineering and Physical Sciences Research Council

Awards: Free-by-cyclic groups, G7798200634, G8848762594

OpenAlex ID: W4401858189

FWCI: 3.351

Cites: 21

Cited by: 6

Related to: 10