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On quasi-isometric nilpotent Lie groups

Published 12 Oct 2017 in math.GR and math.AT | (1710.04542v2)

Abstract: In this article we provide evidence for a well-known conjecture which states that quasi-isometric simply-connected nilpotent Lie groups are isomorphic. We do so by constructing new examples which are rigid in the sense that whenever they are quasi-isometric to any other simply-connected nilpotent Lie group, the groups are actually isomorphic.

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