Published October 6, 2005
| Published
Journal Article
Open
Limits of (certain) CAT(0) groups, I: Compactification
- Creators
- Groves, Daniel
Abstract
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 [18]. 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.
Additional Information
Submitted: 14 January 2005. Accepted: 20 September 2005. Published: 6 October 2005.Attached Files
Published - GROagt05.pdf
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Additional details
- Eprint ID
- 1176
- Resolver ID
- CaltechAUTHORS:GROagt05
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2006-01-02Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field