9 citations · 40 across the 22 of their papers we have counts for
5 papers · 1 filter
Hyperbolic groups with almost finitely presented subgroups
Robert Kropholler, Federico Vigolo
In this paper we create many examples of hyperbolic groups with subgroups satisfying interesting finiteness properties. We give the first examples of subgroups of hyperbolic groups…
Hyperbolic Groups with Finitely Presented Subgroups not of Type
Robert Kropholler, Giles Gardam
We generalise the constructions of Brady and Lodha to give infinite families of hyperbolic groups, each having a finitely presented subgroup that is not of type . By calculati…
Groups whose word problems are not semilinear
Robert H. Gilman, Robert P. Kropholler, Saul Schleimer
Suppose that G is a finitely generated group and W is the formal language of words defining the identity in G. We prove that if G is a nilpotent group, the fundamental group of a f…
Almost Hyperbolic Groups with Almost Finitely Presented Subgroups
Robert Kropholler
We construct new examples of CAT(0) groups containing non finitely presented subgroups that are of type , these CAT(0) groups do not contain copies of . We also…
A new construction of CAT(0) cube complexes
Robert Kropholler, Federico Vigolo
We introduce the notion of coupled link cube complex (CLCC) as a means of constructing interesting cocompactly cubulated groups. CLCCs are defined locally, making them a useful too…