13 citations · 31 across the 10 of their papers we have counts for
9 papers · 1 filter
Depth of free-by-cyclic groups
Spencer Dowdall, Yassine Guerch, Radhika Gupta +2
For a free group automorphism, we prove that its poset of attracting lamination orbits is a canonical invariant of the associated mapping torus. That is, if a free-by-cyclic group…
On polynomial free-by-cyclic groups
Jean Pierre Mutanguha
A free-by-cyclic group can often be viewed as a mapping torus of a free group automorphism (monodromy) in multiple ways. What dynamical properties must these monodromies share, and…
Hyperbolic hyperbolic-by-cyclic groups are cubulable
François Dahmani, Suraj Krishna M S, Jean Pierre Mutanguha
We show that the mapping torus of a hyperbolic group by a hyperbolic automorphism is cubulable. Along the way, we (i) give an alternate proof of Hagen and Wise's theorem that hyper…
Limit trees for free group automorphisms: universality
Jean Pierre Mutanguha
To any free group automorphism, we associate a universal (cone of) limit tree(s) with three defining properties: first, the tree has a minimal isometric action of the free group wi…
Limit pretrees for free group automorphisms: existence
Jean Pierre Mutanguha
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers. S…
The dynamics and geometry of free group endomorphisms
Jean Pierre Mutanguha
We prove that ascending HNN extensions of free groups are word-hyperbolic if and only if they have no Baumslag-Solitar subgroups. This extends the theorem of Brinkmann that free-by…
Irreducibility of a Free Group Endomorphism is a Mapping Torus Invariant
Jean Pierre Mutanguha
We prove that the property of a free group endomorphism being irreducible is a group invariant of the ascending HNN extension it defines. This answers a question posed by Dowdall-K…
Irreducible Nonsurjective Endomorphisms of are Hyperbolic
Jean Pierre Mutanguha
Previously, Reynolds showed that any irreducible nonsurjective endomorphism can be represented by an irreducible immersion on a finite graph. We give a new proof of this and also s…
Hyperbolic Immersions of Free Groups
Jean Pierre Mutanguha
We prove that the mapping torus of a graph immersion has a word-hyperbolic fundamental group if and only if the corresponding endomorphism does not produce Baumslag-Solitar subgrou…