We exhibit free-by-cyclic groups containing non-free locally-free subgroups, including some word hyperbolic examples. We also show that these groups are not subgroup separable. We use Bestvina-Brady Morse theory in our arguments
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
AbstractUsing the positive solution of the general Abhyankarʼs conjecture, we prove that the fundame...
We prove that ascending HNN extensions of free groups are word-hyperbolic if and only if they have n...
We prove that amongst the class of free-by-cyclic groups, Gromov hyperbolicity is an invariant of th...
There are two main sets of results, both pertaining to the model theory of free groups. In the first...
We study the automorphism groups of free-by-cyclic groups and show these are finitely generated in t...
We show that a free-by-cyclic group with a polynomially growing monodromy is subgroup separable exac...
We show the existence of several new infinite families of polynomially-growing automorphisms of free...
We build two non-abelian CSA-groups in which maximal abelian subgroups are conjugate and divisible
We build two non-abelian CSA-groups in which maximal abelian subgroups are conjugate and divisible
We show that free-by-free groups satisfying a homological criterion, which we call excessive homolog...
AbstractIf n-tuples ḡ,h̄ in a rank 2 free group satisfy the same existential formulas, then there i...
Let V be a fi nite graph and let ∅ : V → V be an irreducible train track map whose mapping torus ha...
We study the automorphism groups of free-by-cyclic groups and show these are finitely generated in t...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
AbstractUsing the positive solution of the general Abhyankarʼs conjecture, we prove that the fundame...
We prove that ascending HNN extensions of free groups are word-hyperbolic if and only if they have n...
We prove that amongst the class of free-by-cyclic groups, Gromov hyperbolicity is an invariant of th...
There are two main sets of results, both pertaining to the model theory of free groups. In the first...
We study the automorphism groups of free-by-cyclic groups and show these are finitely generated in t...
We show that a free-by-cyclic group with a polynomially growing monodromy is subgroup separable exac...
We show the existence of several new infinite families of polynomially-growing automorphisms of free...
We build two non-abelian CSA-groups in which maximal abelian subgroups are conjugate and divisible
We build two non-abelian CSA-groups in which maximal abelian subgroups are conjugate and divisible
We show that free-by-free groups satisfying a homological criterion, which we call excessive homolog...
AbstractIf n-tuples ḡ,h̄ in a rank 2 free group satisfy the same existential formulas, then there i...
Let V be a fi nite graph and let ∅ : V → V be an irreducible train track map whose mapping torus ha...
We study the automorphism groups of free-by-cyclic groups and show these are finitely generated in t...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
We show that the theory of the free group -- and more generally the theory of any torsion-free hyper...
AbstractUsing the positive solution of the general Abhyankarʼs conjecture, we prove that the fundame...
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