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Nov 5, 2015 at 0:57 comment added YCor It's not an "observation" but a deep theorem.
Sep 23, 2015 at 16:39 vote accept Jens Reinhold
Sep 23, 2015 at 13:46 comment added Ian Agol The infinite dihedral group $\mathbb{Z}/2\mathbb{Z}\ast \mathbb{Z}/2\mathbb{Z}$ and the integers $\mathbb{Z}$ are quasi-isometric, so Yves' observation does not hold for virtually nilpotent groups.
Sep 23, 2015 at 12:05 review Close votes
Sep 23, 2015 at 20:46
Sep 23, 2015 at 9:04 comment added YCor For finitely generated nilpotent groups the answer is positive by work of Shalom and Sauer.
Sep 23, 2015 at 2:31 answer added ThiKu timeline score: 5
Sep 23, 2015 at 2:30 answer added Qiaochu Yuan timeline score: 5
Sep 23, 2015 at 0:50 history asked Jens Reinhold CC BY-SA 3.0