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Cut points and splittings of CAT(0) groups
by
Panos Papasoglu
University of Athens
Coauthors: Eric Swenson
We show how to associate to a continuum an R-tree which encodes all pairs of points that separate the continuum. We apply this in the case of CAT(0) groups and we show that if a pair of points separates the boundary of a CAT(0) group then the group splits over a 2-ended group. We discuss how can one see the JSJ decomposition of a CAT(0) group from its boundary.
Date received: February 17, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqu-42.