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arXiv · 1006.2114

On the coarse-geometric detection of subgroups

Diane M. Vavrichek
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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.

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Diane M. Vavrichek. 2010-06-10. On the coarse-geometric detection of subgroups. https://arxiv.org/abs/1006.2114

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