116 citations · 266 across the 31 of their papers we have counts for
34 papers
The two-sided Pompeiu problem for discrete groups
Peter A. Linnell, Michael J. Puls
We consider a two-sided Pompeiu type problem for a discrete group . We give necessary and sufficient conditions for a finite set of to have the -Pompeiu…
Unique product groups and congruence subgroups
William Craig, Peter A. Linnell
We prove that a uniform pro-p group with no nonabelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. W…
On the center-valued Atiyah conjecture for L2-Betti numbers
Anselm Knebusch, Peter Linnell, Thomas Schick
The so-called Atiyah conjecture states that the von Neumann dimensions of the L2-homology modules of free G-CW-complexes belong to a certain set of rational numbers, depending on t…
Localization, Whitehead groups, and the Atiyah Conjecture
Peter Linnell, Wolfgang Lück
Let Wh^w(G) be the K_1-group of square matrices over the integral group ring ZG which are not necessarily invertible but induce weak isomorphisms after passing to Hilbert space com…
Linear Dependency of Translations and Square Integrable Representations
Peter A. Linnell, Michael J. Puls, Ahmed Roman
Let be a locally compact group. We examine the problem of determining when nonzero functions in have linearly independent translations. In particular, we establish som…
On the growth of Betti numbers in -adic analytic towers
Nicolas Bergeron, Peter Linnell, Wolfgang Lück +1
We study the asymptotic growth of Betti numbers in tower of finite covers and provide simple proofs of approximation results, which were previously obtained by Calegari-Emerton, in…