Timeline for Subgroups of $SL_3(\mathbb{Z})$ that are finitely generated, Zariski-dense, infinite index, and torsion-free
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Apr 18, 2014 at 23:58 | vote | accept | Khalid Bou-Rabee | ||
Apr 18, 2014 at 17:12 | answer | added | Misha | timeline score: 11 | |
Apr 18, 2014 at 3:32 | comment | added | Igor Rivin | And another edit... | |
Apr 18, 2014 at 3:15 | comment | added | Igor Rivin | See the edit to my answer. | |
Apr 17, 2014 at 22:12 | comment | added | YCor | I don't know, there are plenty of possible variations. Still this sounds likely: I'd guess that there exists a Zariski dense subgroup of infinite index containing the integral Heisenberg group, and thus not isomorphic to a subgroup of a RAAG. | |
Apr 17, 2014 at 20:52 | answer | added | Igor Rivin | timeline score: 7 | |
Apr 17, 2014 at 20:25 | comment | added | Khalid Bou-Rabee | That's neat. Do you have any feeling on whether there might be an example that is not a right-angled Artin group? | |
Apr 17, 2014 at 20:18 | comment | added | YCor | It's very likely that $SL_3(\mathbf{Z})$ contains free products such as $\mathbf{Z}^2\ast\mathbf{Z}$ (necessarily Zariski dense). Anyway the construction of such groups probably requires a little effort. | |
Apr 17, 2014 at 19:58 | history | asked | Khalid Bou-Rabee | CC BY-SA 3.0 |