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arXiv 2012-04-15 0 views

On the growth of Betti numbers in p-adic analytic towers

Bergeron, Nicolas · Linnell, Peter · Lück, Wolfgang · Sauer, Roman

Original · EN

We study the asymptotic growth of Betti numbers in tower of finite covers and provide simple proofs of approximation results, which were previously obtained by Calegari-Emerton, in the generality of arbitrary p-adic analytic towers of covers. Further, we also obtain partial results about arbitrary pro-p towers.

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