On growth of homology torsion in amenable groups

DOI10.1017/S030500411600058XzbMath1383.20035arXiv1506.05373MaRDI QIDQ5360435

Nikolay Nikolov, Aditi Kar, Peter H. Kropholler

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05373

zbMATH Keywords

homologyamenable group

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Cohomology of groups (20J06) Topological methods in group theory (57M07) Residual properties and generalizations; residually finite groups (20E26) Means on groups, semigroups, etc.; amenable groups (43A07) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (3)

Homology torsion growth of finitely presented pro-p groups ⋮ Almost finiteness and homology of certain non-free actions ⋮ Constructing uncountably many groups with the same profinite completion

Cites Work

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• APPROXIMATING THE FIRST L²-BETTI NUMBER OF RESIDUALLY FINITE GROUPS
• On the Finiteness of Certain Soluble Groups
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• The asymptotic growth of torsion homology for arithmetic groups
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