Relative Quasiconvexity using Fine Hyperbolic Graphs

Details Relative Quasiconvexity using Fine Hyperbolic Graphs Relative Quasiconvexity using Fine Hyperbolic Graphs

2010-09-18

arxiv.org/abs/1009.3532v2

Mathematics

Group Theory

21 pages, 6 figures. New section on fine graphs. Version to appear in AGT

Scientific paper

10.2140/agt.2011.11.477

We provide a new and elegant approach to relative quasiconvexity for relatively hyperbolic groups in the context of Bowditch's approach to relative hyperbolicity using cocompact actions on fine hyperbolic graphs. Our approach to quasiconvexity generalizes the other definitions in the literature that apply only for countable relatively hyperbolic groups. We also provide an elementary and self-contained proof that relatively quasiconvex subgroups are relatively hyperbolic.

Affiliated with

Also associated with

No associations

Rating

Relative Quasiconvexity using Fine Hyperbolic Graphs 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 Relative Quasiconvexity using Fine Hyperbolic Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative Quasiconvexity using Fine Hyperbolic Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476559