Quasi-isometries between groups with infinitely many ends

Details Quasi-isometries between groups with infinitely many ends Quasi-isometries between groups with infinitely many ends

2004-05-14

arxiv.org/abs/math/0405274v1

Commentarii Mathematici Helvetici 77, 2002

Mathematics

Geometric Topology

Scientific paper

Let G and F be finitely generated groups with infinitely many ends and let A and B be graph of groups decompositions of F and G such that all edge groups are finite and all vertex groups have at most one end. We show that G and F are quasi-isometric if and only if every one-ended vertex group of A is quasi-isometric to some one-ended vertex group of B and every one-ended vertex group of B is quasi-isometric to some one-ended vertex group of A. From our proof it also follows that if G is any finitely generated group, of order at least three, the groups: G*G, G*Z,G*G*G and G* Z/2Z are all quasi-isometric.

Affiliated with

Also associated with

No associations

Rating

Quasi-isometries between groups with infinitely many ends does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-isometries between groups with infinitely many ends, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-isometries between groups with infinitely many ends will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-671676