Rank, combinatorial cost and homology torsion growth in higher rank lattices

We investigate the rank gradient and growth of torsion in homology in residually finite groups. As a tool, we introduce a new complexity notion for generating sets, using measured groupoids and combinatorial cost. <br/>As an application we prove the vanishing of the above invariants for Farbe...

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Bibliographic Details
Main Authors: Abert, M, Gelander, T, Nikolov, N
Format: Journal article
Published: Duke University Press 2016