Algebraic ranks of CAT(0) groups

Kim, Raeyong

doi:10.2140/agt.2014.14.1627

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Algebraic ranks of $\mathrm{CAT}(0)$ groups

Raeyong Kim

Algebraic & Geometric Topology 14 (2014) 1627–1648

DOI: 10.2140/agt.2014.14.1627

Abstract

We study the algebraic rank of various classes of $CAT (0)$ groups. They include right-angled Coxeter groups, right-angled Artin groups, relatively hyperbolic groups and groups acting geometrically on $CAT (0)$ spaces with isolated flats. As one of our corollaries, we obtain a new proof of a result on commensurability of Coxeter groups.

Keywords

algebraic rank of a group, $\mathrm{CAT}(0)$ groups, right-angled Coxeter groups, relatively hyperbolic groups

Mathematical Subject Classification 2010

Primary: 57M07

Secondary: 20F55, 20F65

References

Publication

Received: 4 October 2012

Revised: 2 July 2013

Accepted: 30 July 2013

Published: 29 May 2014

Authors

Raeyong Kim
Department of Mathematics The Ohio State University 231 West 18th Avenue Columbus, OH 43210-1174 USA

Volume 14, issue 3 (2014)