English

Homological characterisation of Lambda-ranks

Number Theory 2007-05-23 v1

Abstract

If G is a pro-p, p-adic, Lie group and if Λ(G)\Lambda(G) denotes the Iwasawa algebra of G then we present a formula for determining the Λ(G)\Lambda(G)-rank of a finitely generated Λ(G)\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 Λ(G)\Lambda(G)-modules.

Keywords

Cite

@article{arxiv.math/9907215,
  title  = {Homological characterisation of Lambda-ranks},
  author = {Susan Howson},
  journal= {arXiv preprint arXiv:math/9907215},
  year   = {2007}
}