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math.GR2014★ 5 cited
Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups
Tullia Dymarz, Irine Peng, Jennifer Taback
We describe a family of finitely presented groups which are quasi-isometric but not bilipschitz equivalent. The first such examples were described by the first author and are the l…
math.GR2009
Assouad-Nagata dimension of connected Lie groups
J. Higes, I. Peng
We prove that the asymptotic Assouad-Nagata dimension of a connected Lie group equipped with a left-invariant Riemannian metric coincides with its topological dimension of $G/C…