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Sep 14 at 15:10 comment added Will Sawin I think your argument generalizes immediately to quasisplit groups, so $SL_3(\mathbb Z [\sqrt{2}])$ is fine.
Sep 14 at 14:53 answer added Moishe Kohan timeline score: 5
Sep 4 at 9:51 comment added YCor Specifically, one can ask whether a cocompact lattice in $\mathrm{SL}_3(\mathbf{R})$, which has vcd$=8$, can have a subgroup of vcd$=7$.
Sep 4 at 9:47 history edited YCor CC BY-SA 4.0
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Sep 4 at 9:21 history asked HASouza CC BY-SA 4.0