5 citations · 35 across the 30 of their papers we have counts for
30 papers
Rank 1 phenomena for 1-relator and deficiency 1 groups
J O Button
We examine second bounded cohomology and mod p homology in finite index subgroups of 1-relator groups and groups with a presentation of deficiency at least one. We use this to dete…
Quasi-actions whose quasi-orbits are quasi-isometric to trees
J. O. Button
We give necessary and sufficient conditions under which a quasi-action of any group on an arbitrary metric space can be reduced to a cobounded isometric action on some bounded vale…
Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups
J. O. Button
We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag - Solitar groups of arbitrary dimension (the rank of the free abelian vertex and edge subgroups)…
Groups acting on hyperbolic spaces with a locally finite orbit
J. O. Button
A group with a geometric action on some hyperbolic space is necessarily word hyperbolic, but on the other hand every countable group acts (metrically) properly by isometries on a l…
Groups acting purely loxodromically on products of hyperbolic graphs
J. O. Button
We consider the class of countable groups possessing an action on a finite product of hyperbolic graphs where every infinite order element acts loxodromically. When the graphs are…
Groups acting faithfully on trees and properly on products of trees
J. Button
We examine the question of which finitely generated groups act properly on a finite product of simplicial trees, considering both arbitrary trees and where all trees are locally fi…