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Results tagged with group-rings
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user 35416
A group ring $R[G]$ is a ring constructed in a natural way from a ring $R$ and a group $G$.
7
votes
Must a finitely generated projective module over a group ring with vanishing coinvariants be...
This is true when $G$ is finite. This follows from a theorem of Swan [1], which asserts that all projective $\mathbb{Z}[G]$-modules are locally free, i.e isomorphic to a free module over $\mathbb{Z}_p …
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