Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups

Details Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups Idempotent ideals and non-finitely generated projective modules over integral group rings of polycyclic-by-finite groups

2005-12-19

arxiv.org/abs/math/0512446v1

Mathematics

Rings and Algebras

15 pages, to appear in J. Algebra

Scientific paper

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.

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