7 citations · 13 across the 6 of their papers we have counts for
9 papers
Outer automorphisms of HNN extensions of abelian groups
Naomi Andrew, Sam Hughes, Motiejus Valiunas
Let be a commensurating HNN extension of a finitely generated free abelian group. We characterise when is finitely generated and derive structural information…
Problems on handlebody groups
Naomi Andrew, Sebastian Hensel, Sam Hughes +1
We survey a number of constructions and open problems related to the handlebody group, with a focus on recent trends in geometric group theory, (co)homological properties, and its…
Automorphisms of relatively hyperbolic groups and the Farrell--Jones Conjecture
Naomi Andrew, Yassine Guerch, Sam Hughes
We prove the fibred Farrell--Jones Conjecture (FJC) in -, -, and -theory for a large class of suspensions of relatively hyperbolic groups, as well as for all suspensions o…
Homology growth of polynomially growing mapping tori
Naomi Andrew, Yassine Guerch, Sam Hughes +1
We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, ri…
Torsion homology growth of polynomially growing free-by-cyclic groups
Naomi Andrew, Sam Hughes, Monika Kudlinska
We show that the homology torsion growth of a free-by-cyclic group with polynomially growing monodromy vanishes in every dimension independently of the choice of Farber chain. It f…
Centralisers of linear growth automorphisms of free groups
Naomi Andrew, Armando Martino
In this note we investigate the centraliser of a linearly growing element of (that is, a root of a Dehn twist automorphism), and show that it has a finite index…
A Bass--Serre theoretic proof of a theorem of Burns and Romanovskii
Naomi Andrew
A well known theorem of Burns and Romanovskii states that a free product of subgroup separable groups is itself subgroup separable. We provide a proof using the language of immersi…
Free-by-cyclic groups, automorphisms and actions on nearly canonical trees
Naomi Andrew, Armando Martino
We study the automorphism groups of free-by-cyclic groups and show these are finitely generated in the following cases: (i) when defining automorphism has linear growth and (ii) wh…
Serre's Property (FA) for automorphism groups of free products
Naomi Andrew
We provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA).…