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

Details Scott and Swarup's regular neighbourhood as a tree of cylinders Scott and Swarup's regular neighbourhood as a tree of cylinders

2008-11-14

arxiv.org/abs/0811.2389v1

Mathematics

Group Theory

24 pages

Scientific paper

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.

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