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arxiv: math/0512446 · v1 · submitted 2005-12-19 · 🧮 math.RA

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

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keywords groupgeneratedintegralnon-finitelypolycyclic-by-finiteprojectiveeveryfree
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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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