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math.GR2004★ 8 cited
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…
math.GR2001
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.…
math.GR2000
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…