1 citations · 1 across the 3 of their papers we have counts for
4 papers
The horofunction boundary of the lamplighter group with the Diestel-Leader metric
Keith Jones, Gregory A. Kelsey
We fully describe the horofunction boundary with the word metric associated with the generating set (i.e the metric arising in the Diestel-Leader graph…
Controlled Connectivity for Semi-Direct Products Acting on Locally Finite Trees
Keith Jones
In 2003 Bieri and Geoghegan generalized the Bieri-Neuman-Strebel invariant by defining , an isometric action by a finitely generated group on a proper CAT(0)…
Visual boundaries of Diestel-Leader graphs
Keith Jones, Gregory A. Kelsey
Diestel-Leader graphs are neither hyperbolic nor CAT(0), so their visual boundaries may be pathological. Indeed, we show that for , carries the indisc…
Connectivity Properties for Actions on Locally Finite Trees
Keith Jones
Given an action by a finitely generated group G on a locally finite tree T, we view points of the visual boundary \partialT as directions in T and use ρ to lift this sense of direc…