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Homological characterisation of Lambda-ranks - MaRDI portal

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Homological characterisation of Lambda-ranks

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Publication:6501429

arXivmath/9907215MaRDI QIDQ6501429

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Abstract: If G is a pro-p, p-adic, Lie group and if Lambda(G) denotes the Iwasawa algebra of G then we present a formula for determining the Lambda(G)-rank of a finitely generated Lambda(G)-module. This is given in terms of the G homology groups of the module. We explore some consequences of this for the structure of Lambda(G)-modules.












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