Timeline for Examples of non-cubulated hyperbolic groups
Current License: CC BY-SA 4.0
5 events
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Dec 28, 2019 at 16:46 | comment | added | HJRW | @YanivShakhar: They're linear, and hence virtually torsion free. Probably there are explicit examples of quaterionionic hyperbolic lattices with torsion, but if you want to construct a hyperbolic group with torsion and property (T), just take any non-trivial element $g$ and kill a sufficiently high power $g^n$. | |
Dec 27, 2019 at 15:13 | vote | accept | Yaniv Shakhar | ||
Dec 27, 2019 at 12:12 | comment | added | AGenevois | I am not quite familiar with lattices in quaternionic hyperbolic spaces, but there are reflections in such spaces, so I would say that there exist torsion-free lattices and lattices with torsion. | |
Dec 27, 2019 at 11:22 | comment | added | Yaniv Shakhar | Do you know if uniform lattices in quaternionic hyperbolic spaces have torsion or are torsion free? | |
Dec 26, 2019 at 11:06 | history | answered | AGenevois | CC BY-SA 4.0 |