Work

On subgroups with narrow Schreier graphs

Year: 2024

Type: article

Abstract: We study finitely generated pairs of groups such that the Schreier graph of has at least two ends and is narrow. Examples of narrow Schreier graphs include those that are quasi‐isometric to finitely ended trees or have linear growth. Under this hypothesis, we show that is a virtual fiber subgroup if and only if contains infinitely many double cosets of . Along the way, we prove that if a group acts essentially on a finite‐dimensional CAT(0) cube complex with no facing triples, then it virtually surjects onto the integers with kernel commensurable to a hyperplane stabiliser.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13157

Author: Pénélope Azuelos

Institution: University of Bristol

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funder: University of Bristol