The coarse classification of countable abelian groups

DOI10.1090/S0002-9947-10-05118-4zbMath1252.20039arXiv0807.1141OpenAlexW2963502828MaRDI QIDQ4930019

Ihor Zarichnyi, Taras Banakh, J. Higes

Publication date: 27 September 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1141

zbMATH Keywords

finitely generated subgroupsasymptotic dimensioncoarse embeddingsquasi-isometric embeddingcountable Abelian groupslocally finite-by-Abelian groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69)

Related Items (10)

Coarse structure of ultrametric spaces with applications ⋮ Counting coarse subsets of a countable group ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ On asymorphisms of groups ⋮ Asymptotic dimension and small subsets in locally compact topological groups ⋮ Some categorical aspects of coarse spaces and balleans ⋮ The coarse classification of countable abelian groups ⋮ Functional boundedness of balleans: coarse versions of compactness ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures ⋮ Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras

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