5 papers · 1 filter
-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…
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…
On the higher topological complexity of manifolds with abelian fundamental group
N. Cadavid-Aguilar, D. Cohen, J. González +2
We study the higher (or sequential) topological complexity of manifolds with abelian fundamental group. We give sufficient conditions for to be non-…
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…
Bounds on Coloring Trees without Rainbow Paths
Wayne Goddard, Tyler Herrman, Simon J. Hughes
For a graph with colored vertices, a rainbow subgraph is one where all vertices have different colors. For graph , let denote the maximum number of different colors in…