Mathematics – Group Theory
Scientific paper
2008-01-24
Mathematics
Group Theory
52 pages, 7 figures, thesis draft
Scientific paper
We give a sufficient condition under which the fundamental group of a reglued graph of surfaces is hyperbolic. A reglued graph of surfaces is constructed by cutting a fixed graph of surfaces along the edge surfaces, then regluing by pseudo-Anosov homeomorphisms of the edge surfaces. By carefully choosing the regluing homeomorphism, we construct an example of such a reglued graph of surfaces, whose fundamental group is not abstractly commensurate to any surface-by-free group, i.e., which is different from all the examples given in Mosher's paper 'A hyperbolic-by-hyperbolic hyperbolic group'.
No associations
LandOfFree
Hyperbolic Graphs of Surface Groups 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 Hyperbolic Graphs of Surface Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic Graphs of Surface Groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-282940