Copies of a one-ended group in a Mapping Class Group

Details Copies of a one-ended group in a Mapping Class Group Copies of a one-ended group in a Mapping Class Group

2007-09-06

arxiv.org/abs/0709.0797v2

Mathematics

Group Theory

16 pages, 3 figures, revised

Scientific paper

We establish that, given $\Sigma$ a compact orientable surface, and $G$ a finitely presented one-ended group, the set of copies of $G$ in the mapping class group $\mathcal{MCG}(\Sigma)$ consisting of only pseudo-anosov elements except identity, is finite up to conjugacy. This relies on a result of Bowditch on the same problem for images of surfaces groups. He asked us whether we could reduce the case of one-ended groups to his result ; this is a positive answer. Our work involves analogues of Rips and Sela canonical cylinders in curve complexes, and the argument of Delzant to bound the number of images of a one-ended group in a hyperbolic group.

Affiliated with

Also associated with

No associations

Rating

Copies of a one-ended group in a Mapping Class Group 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 Copies of a one-ended group in a Mapping Class Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Copies of a one-ended group in a Mapping Class Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657710