Ends of groups: a nonstandard perspective
Group Theory
2010-08-18 v1 Logic
Abstract
We give a nonstandard treatment of the notion of ends of proper geodesic metric spaces. We then apply this nonstandard treatment to Cayley graphs of finitely generated groups and give nonstandard proofs of many of the fundamental results concerning ends of groups. We end with an analogous nonstandard treatment of the ends of relatively Cayley graphs, that is Cayley graphs of cosets of finitely generated groups.
Keywords
Cite
@article{arxiv.1008.2795,
title = {Ends of groups: a nonstandard perspective},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:1008.2795},
year = {2010}
}
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23 pages