The University of Southampton
University of Southampton Institutional Repository

Hierarchically hyperbolic groups, products of $\textrm{CAT(-1)}$ spaces, and virtual torsion-freeness

Hierarchically hyperbolic groups, products of $\textrm{CAT(-1)}$ spaces, and virtual torsion-freeness
Hierarchically hyperbolic groups, products of $\textrm{CAT(-1)}$ spaces, and virtual torsion-freeness
We prove that a group acting geometrically on a product of proper minimal $\textrm{CAT}(-1)$ spaces without permuting isometric factors is a hierarchically hyperbolic group. As an application we construct hierarchically hyperbolic groups which are not virtually torsion-free.
math.GR, 20F65, 20F67
2331-8422
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a
Hughes, Sam
a41196d7-14a9-42f8-b6c1-95e00f98910a

Hughes, Sam (2021) Hierarchically hyperbolic groups, products of $\textrm{CAT(-1)}$ spaces, and virtual torsion-freeness. arXiv.

Record type: Article

Abstract

We prove that a group acting geometrically on a product of proper minimal $\textrm{CAT}(-1)$ spaces without permuting isometric factors is a hierarchically hyperbolic group. As an application we construct hierarchically hyperbolic groups which are not virtually torsion-free.

Text
2105.02847v1
Download (448kB)

More information

Published date: 6 May 2021
Additional Information: 7 pages, comments welcome!
Keywords: math.GR, 20F65, 20F67

Identifiers

Local EPrints ID: 449246
URI: http://eprints.soton.ac.uk/id/eprint/449246
ISSN: 2331-8422
PURE UUID: 698739ae-b48a-481e-8fb3-67dce5564c9c
ORCID for Sam Hughes: ORCID iD orcid.org/0000-0002-9992-4443

Catalogue record

Date deposited: 20 May 2021 16:32
Last modified: 16 Mar 2024 12:19

Export record

Contributors

Author: Sam Hughes ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×