Scott and Swarup's regular neighborhood as a tree of cylinders

Vincent Guirardel, Gilbert Levitt
2010 Pacific Journal of Mathematics  
Let G be a finitely presented group. Scott and Swarup have constructed a canonical splitting of G that encloses all almost invariant sets over virtually polycyclic subgroups of a given length. We give an alternative construction of this regular neighborhood by showing that it is the tree of cylinders of a JSJ splitting. MSC2000: primary 20E08; secondary 20F65, 20E06.
doi:10.2140/pjm.2010.245.79 fatcat:y57hbeej7zf73ba3km7aoxulhm