Limits of (certain) CAT(0) groups, I: Compactification

Details Limits of (certain) CAT(0) groups, I: Compactification Limits of (certain) CAT(0) groups, I: Compactification

2004-04-23

arxiv.org/abs/math/0404440v3

Algebr. Geom. Topol. 5 (2005) 1325-1364

Mathematics

Group Theory

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-52.abs.html

Scientific paper

The purpose of this paper is to investigate torsion-free groups which act properly and cocompactly on CAT(0) metric spaces which have isolated flats, as defined by Hruska. Our approach is to seek results analogous to those of Sela, Kharlampovich and Miasnikov for free groups and to those of Sela (and Rips and Sela) for torsion-free hyperbolic groups. This paper is the first in a series. In this paper we extract an R-tree from an asymptotic cone of certain CAT(0) spaces. This is analogous to a construction of Paulin, and allows a great deal of algebraic information to be inferred, most of which is left to future work.

Affiliated with

Also associated with

No associations

Rating

Limits of (certain) CAT(0) groups, I: Compactification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Limits of (certain) CAT(0) groups, I: Compactification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limits of (certain) CAT(0) groups, I: Compactification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393530