Dawid Kielak

activity

20112025

most citedResidually finite rationally solvable groups and virtual fibring

38 citations · 139 across the 31 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.GR2020

Isoperimetric inequalities for Poincaré duality groups

Dawid Kielak, Peter Kropholler

We show that every oriented $n$ -dimensional Poincaré duality group over a $*$ -ring $R$ is amenable or satisfies a linear homological isoperimetric inequality in dimension $n - 1$ . As…

math.GR2020

$ℓ^{2}$ Betti numbers and coherence of random groups

Dawid Kielak, Robert Kropholler, Gareth Wilkes

We study $ℓ^{2}$ Betti numbers, coherence, and virtual fibring of random groups in the few-relator model. In particular, random groups with negative Euler characteristic are coher…

Isoperimetric inequalities for Poincaré duality groups

ℓ2 Betti numbers and coherence of random groups

$ℓ^{2}$ Betti numbers and coherence of random groups