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math.RA2005
Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups
Peter A. Linnell, Gena Puninski, Patrick F. Smith
We prove that every non-finitely generated projective module over the integral group ring of a polycyclic-by-finite group G is free if and only if G is polycyclic.
math.RA2005
Congruence subgroups and the Atiyah conjecture
Daniel R. Farkas, Peter A. Linnell
Let A denote the algebraic closure of the rationals Q in the complex numbers C. Suppose G is a torsion-free group which contains a congruence subgroup as a normal subgroup of finit…