Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups
Rings and Algebras
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0512446,
title = {Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups},
author = {Peter A. Linnell and Gena Puninski and Patrick F. Smith},
journal= {arXiv preprint arXiv:math/0512446},
year = {2007}
}
Comments
15 pages, to appear in J. Algebra