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arXiv · 2511.14277

Uncountably many quasi-isometric torsion-free groups

Vladimir Vankov
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Abstract

We construct uncountably many finitely generated, pairwise non-isomorphic torsion-free groups, all of which fall into the same quasi-isometry class. This is done by considering Schur covering groups and group cohomology, with the necessary geometric ingredient coming from the theory of bounded-valued cohomology.

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Vladimir Vankov. 2025-11-18. Uncountably many quasi-isometric torsion-free groups. https://arxiv.org/abs/2511.14277

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