Scott and Swarup's regular neighbourhood as a tree of cylinders
classification
🧮 math.GR
math.GT
keywords
cylindersneighbourhoodregularscottsplittingswaruptreealmost
read the original abstract
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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