On the coarse-geometric detection of subgroups
Group Theory
2010-06-11 v1
Abstract
We generalize [Vav] to give sufficient conditions, primarily on coarse geometry, to ensure that a subset of a Cayley graph is a finite Hausdorff distance from a subgroup. Using this result, we prove a partial converse to the Flat Torus Theorem for CAT(0) groups. Also using this result, we give sufficient conditions for subgroups and splittings to be invariant under quasi-isometries.
Keywords
Cite
@article{arxiv.1006.2114,
title = {On the coarse-geometric detection of subgroups},
author = {Diane M. Vavrichek},
journal= {arXiv preprint arXiv:1006.2114},
year = {2010}
}
Comments
39 pages, no figures