3 papers
math.KT2026
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…
math.GR2025
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…
math.GR2025
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…