Ends of groups: a nonstandard perspective

Details Ends of groups: a nonstandard perspective Ends of groups: a nonstandard perspective

2010-08-16

arxiv.org/abs/1008.2795v1

Mathematics

Group Theory

23 pages

Scientific paper

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.

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