Homological characterisation of Lambda-ranks

Susan Howson

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arXiv · math/9907215

Homological characterisation of Lambda-ranks

Susan Howson

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Abstract

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

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Susan Howson. 1999-07-28. Homological characterisation of Lambda-ranks. https://arxiv.org/abs/math/9907215

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