8 citations · 9 across the 3 of their papers we have counts for
8 papers
Groups of small homological dimension and the Atiyah Conjecture
Peter Kropholler, Peter Linnell, Wolfgang Lueck
A group G has homological dimension less or equal to 1 if it is locally free. We prove the converse provided that G satisfies the Atiyah Conjecture about L^2-Betti numbers. We also…
Whitehead groups and the Bass conjecture
Tom Farrell, Peter Linnell
This paper will be concerned with proving that certain Whitehead groups of torsion-free elementary amenable groups are torsion groups and related results, and then applying these r…
K-theory of Solvable Groups
Tom Farrell, Peter Linnell
We first prove that the Whitehead group of a torsion-free virtually solvable linear group vanishes. Next we make a reduction of the fibered isomorphism conjecture from virtually so…
Right orderable residually finite p-groups and a Kourovka notebook problem
Peter A. Linnell
A. H. Rhemtulla proved that if a group is a residually finite p-group for infinitely many primes p, then it is two-sided orderable. In problem 10.30 of the Kourovka notebook 14th.…
Left ordered groups with no nonabelian free subgroups
Peter A. Linnell
There has been interest recently concerning when a left ordered group is locally indicable. Bergman and Tararin have shown that not all left ordered groups are locally indicable, b…
Zero divisors and L^p(G), II
Peter A. Linnell, Michael J. Puls
Let G be a discrete group, let , and let denote the Banach space . The following problem will be stud…