5 citations · 10 across the 8 of their papers we have counts for
15 papers · 1 filter
Explicit polynomial bounds on Dehn functions of subgroups of hyperbolic groups
Robert Kropholler, Claudio Llosa Isenrich, Ignat Soroko
In 1999 Brady constructed the first example of a non-hyperbolic finitely presented subgroup of a hyperbolic group by fibring a non-positively curved cube complex over the circle. W…
Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings
Shaked Bader, Robert Kropholler, Vladimir Vankov
In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric inequalities over ar…
Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups
Robert Kropholler, Claudio Llosa Isenrich
For every we produce an example of a non-hyperbolic finitely presented subgroup of a hyperbolic group , which is the kernel of a surjective homomorphism $ϕ: G\…
Constructing groups of type over fields but not over the integers
Robert Kropholler
We construct examples of groups that are and for all primes but not of type .
Extensions of hyperbolic groups have locally uniform exponential growth
Robert Kropholler, Rylee Alanza Lyman, Thomas Ng
We introduce a quantitative characterization of subgroup alternatives modeled on the Tits alternative in terms of group laws and investigate when this property is preserved under e…
Homological Dehn functions of groups of type
Noel Brady, Robert Kropholler, Ignat Soroko
We prove foundational results for homological Dehn functions of groups of type such as superadditivity and the invariance under quasi-isometry. We then study the homological…