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

2005/12/19 by Peter A. Linnell, Gena Puninski, Linnell, Peter A. +3
Mathematics · #Algebraic structures and combinatorial models #Finite Group Theory Research #Rings, Modules, and Algebras #math.RA #msc:16D40 #msc:20C12

paper · pdf · doi:10.48550/arxiv.math/0512446

15 pages, to appear in J. Algebra

arxiv created 2005/12/19 · arxiv updated 2009/12/01

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.

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