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Robert Boltje, Adam Glesser

On p-monomial modules over local domains

We consider direct summands of monomial modules for group algebras over local rings of positive residue characteristic p. If the base ring is a local domain that contains a root of unity of sufficiently large order, the Krull–Schmidt theorem holds for these modules and their representation rings over two such base rings are canonically isomorphic.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 10, 03/2007
Pages: 173 - 183

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