Bushy pseudocharacters and group actions on quasitrees

Martínez-Pérez, Álvaro

doi:10.2140/agt.2012.12.1725

Search citation statements

Order By: Relevance

Paper Sections

Select...

Hyperbolic-like Groups1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, it has been verified that the actions by Manning are not elementary for certain cases using our work [MP12]. We will also verify that the non elementary groups in Example 2.1 have non elementary actions on quasitrees (Corollary 3.25).…”

Section: Hyperbolic-like Groupssupporting

confidence: 56%

Constructing group actions on quasi-trees and applications to mapping class groups

2014

View full text Add to dashboard Cite

A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasitrees. The groups we can handle include non-elementary (relatively) hyperbolic groups, CAT (0) groups with rank 1 elements, mapping class groups and Out(F n ). As an application, we show that mapping class groups act on finite products of δ-hyperbolic spaces so that orbit maps are quasi-isometric embeddings. We prove that mapping class groups have finite asymptotic dimension.

show abstract

Section: Hyperbolic-like Groupssupporting

confidence: 56%