38 citations · 139 across the 31 of their papers we have counts for
6 papers · 1 filter
Coboundary expansion and Gromov hyperbolicity
Dawid Kielak, Piotr W. Nowak
We prove that if a compact -manifold admits a sequence of residual covers that form a coboundary expander in dimension , then the manifold has Gromov-hyperbolic fundamental…
Stallings's Fibring Theorem and -pairs
Martin R. Bridson, Dawid Kielak, Monika Kudlinska
We give a relatively self-contained proof that if a group fibres algebraically and is part of a -pair, then is the fundamental group of a fibred compact asph…
Kazhdan constants for Chevalley groups over the integers
Marek Kaluba, Dawid Kielak
We compute lower bounds for Kazhdan constants of Chevalley groups over the integers, endowed with the standard Steinberg generators. For types other than , these ar…
Group rings of three-manifold groups
Dawid Kielak, Marco Linton
Let be the fundamental group of a three-manifold. By piecing together many known facts about three manifold groups, we establish two properties of the group ring .…
Virtually free-by-cyclic groups
Dawid Kielak, Marco Linton
We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many grou…
Coherence for elementary amenable groups
Sam Hughes, Dawid Kielak, Peter H. Kropholler +1
We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This genera…