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Scott and Swarup's regular neighbourhood as a tree of cylinders
Vincent Guirardel, Gilbert Levitt
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…
Trees of cylinders and canonical splittings
Vincent Guirardel, Gilbert Levitt
Let T be a tree with an action of a finitely generated group G. Given a suitable equivalence relation on the set of edge stabilizers of T (such as commensurability, co-elementarity…
Unsolvability of the isomorphism problem for [free abelian]-by-free groups
Gilbert Levitt
The isomorphism problem for [free abelian]-by-free groups is unsolvable.
Counting growth types of automorphisms of free groups
Gilbert Levitt
Given an automorphism of a free group , we consider the following invariants: is the number of exponential strata (an upper bound for the number of different exponential g…