Abstract
We study atomic right angled Artin groups - those whose defining graph has no cycles of length ≤ 4, and no separating vertices, separating edges, or separating vertex stars. We show that these groups are not quasi isometrically rigid, but that an intermediate form of rigidity does hold. We deduce from this that two atomic groups are quasi isometric iff they are isomorphic.
Original language | English (US) |
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Pages (from-to) | 1653-1699 |
Number of pages | 47 |
Journal | Geometry and Topology |
Volume | 12 |
Issue number | 3 |
DOIs | |
State | Published - 2008 |
Keywords
- CAT(0)
- Quasi isometry
- Rigidity
ASJC Scopus subject areas
- Geometry and Topology