Timeline for Is $SL(n,\mathbb{Z})$ a CAT(0) group?
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Dec 1, 2013 at 12:11 | comment | added | YCor | the filling of $n-2$-spheres in $SL_n(\mathbf{Z})$ for $n\ge 3$ has exponential area. So $SL_n(\mathbf{Z})$ is not quasi-isometric to a CAT(0) space (and, in the same vein, its asymptotic cones have nontrivial $\pi_{n-2}$). Corollary: it has no proper cocompact action on a CAT(0) space. | |
Nov 30, 2013 at 23:42 | history | edited | Anton Petrunin |
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Nov 28, 2011 at 14:37 | vote | accept | yeshengkui | ||
Dec 25, 2013 at 14:12 | |||||
Nov 28, 2011 at 9:35 | answer | added | Anon | timeline score: 24 | |
Nov 28, 2011 at 7:45 | history | asked | yeshengkui | CC BY-SA 3.0 |