Pith. sign in

Regular Languages for Contracting Geodesics

· 2018 · math.GR · arXiv 1809.02692

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
abstract

Let $G$ be a finitely generated group. We show that for any finite generating set $A$, the language consisting of all geodesics in $Cay(G,A)$ with a contracting property is a regular language. As an application, we show that any finitely generated group containing an infinite contracting geodesic must be either virtually $\mathbb{Z}$ or acylindrically hyperbolic.

fields

math.GR 1

years

2019 1

verdicts

CONDITIONAL 1

representative citing papers

The local-to-global property for Morse quasi-geodesics

math.GR · 2019-08-29 · conditional · novelty 7.0

Morse quasi-geodesics behave locally-to-globally in mapping class groups, CAT(0) groups, 3-manifold groups, and relatively hyperbolic groups, giving new combination theorems for stable subgroups.

citing papers explorer

Showing 1 of 1 citing paper.

  • The local-to-global property for Morse quasi-geodesics math.GR · 2019-08-29 · conditional · none · ref 28 · internal anchor

    Morse quasi-geodesics behave locally-to-globally in mapping class groups, CAT(0) groups, 3-manifold groups, and relatively hyperbolic groups, giving new combination theorems for stable subgroups.