Journal article icon

Journal article

Negative curvature in graphical small cancellation groups

Abstract:

We use the interplay between combinatorial and coarse geometric versions of negative curvature to investigate the geometry of infinitely presented graphical Gr′(1/6) small cancellation groups. In particular, we characterize their ‘contracting geodesics,’ which should be thought of as the geodesics that behave hyperbolically. We show that every degree of contraction can be achieved by a geodesic in a finitely generated group. We construct the first example of a finitely generated group G cont...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

Actions


Access Document


Files:
Publisher copy:
10.4171/GGD/498

Authors


Arzhantseva, GN More by this author
Cashen, CH More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Publisher:
European Mathematical Society Publishing House Publisher's website
Journal:
Groups, Geometry, and Dynamics Journal website
Volume:
13
Issue:
2
Pages:
579–63
Publication date:
2019-05-06
Acceptance date:
2018-05-24
DOI:
EISSN:
1661-7215
ISSN:
1661-7207
Pubs id:
pubs:853735
URN:
uri:5cefa65f-d2f9-4135-a5cc-8b1bfe9b8e4a
UUID:
uuid:5cefa65f-d2f9-4135-a5cc-8b1bfe9b8e4a
Local pid:
pubs:853735

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP