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math.GR2025
-torsion of automorphisms
Sam Hughes, Wolfgang Lueck
We develop the theory of -torsion of an automorphism of a group and compute it for every automorphism of a group which is hyperbolic and one-ended relative to a finite collect…
math.GR2025
Free-by-cyclic groups are conjugacy separable
François Dahmani, Sam Hughes, Monika Kudlinska +1
We show that all finitely generated free-by-cyclic groups are conjugacy separable: if a finitely generated group surjects onto with free kernel, then for every pai…
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…