12 citations · 38 across the 16 of their papers we have counts for
4 papers · 1 filter
Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups
Noel Brady, Dan Guralnik, Sang Rae Lee
We introduce the class of perturbed right-angled Artin groups. These are constructed by gluing Bieri double groups into standard right-angled Artin groups. As a first application o…
A `transversal' for minimal invariant sets in the boundary of a CAT(0) group
Dan Guralnik, Eric L. Swenson
We introduce new techniques for studying boundary dynamics of CAT(0) groups. For a group acting geometrically on a CAT(0) space we show there is a flat of maxi…
Coarse decompositions of boundaries for CAT(0) groups
Dan Guralnik
In this work we introduce a new combinatorial notion of boundary of an -dimensional cubing . is defined to be the set of almost-equality classes of ultrafilte…
Local finiteness for cubulations of CAT(0) groups
Dan Guralnik
Let X be a proper CAT(0) space. A halfspace system (or cubulation) of X is a set H of open halfspaces closed under closure-complementation and such that every point in X has a neig…