%0 Journal Article %T Scott and Swarup's regular neighbourhood as a tree of cylinders %A Vincent Guirardel %A Gilbert Levitt %J Mathematics %D 2008 %I arXiv %X Let G be a finitely presented group. Scott and Swarup have constructed a canonical splitting of G which encloses all almost invariant sets over virtually polycyclic subgroups of a given length. We give an alternative construction of this regular neighbourhood, by showing that it is the tree of cylinders of a JSJ splitting. %U http://arxiv.org/abs/0811.2389v1