most citedThe coarse classification of countable abelian groups

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math.GR2008★ 2 cited

The coarse classification of countable abelian groups

T. Banakh, J. Higes, I. Zarichinyy

We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coinc…

math.GR2008

A coarse classification of countable abelian groups

J. Higes

We classify up to coarse equivalence all countable abelian groups of finite torsion free rank. The Q-cohomological dimension and the torsion free rank are the two invariants that g…