Timeline for Can a surface group act on a finite-valence simplicial tree?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2016 at 21:03 | comment | added | YCor | Dense surface subgroups in $\mathrm{PSL}_2(\mathbf{Q}_p)$ were previously known. A closed surface subgroup in $\mathrm{PSL}_2(\mathbf{Q}_p)$ is necessarily dense, and many arithmetic surface groups lie in $\mathrm{PSL}_2$ of some real quadratic extension of $\mathbf{Q}$, and this fits in $\mathbf{Q}_p$ for many values of $p$. | |
| Apr 13, 2016 at 18:53 | comment | added | Dylan Thurston | Thanks! That's great. I will study the paper. You do have to be careful about losing faithfulness when passing to a sub-tree, so I think you'll need the dense argument. (For instance, your original free group action might fix a vertex of the tree.) | |
| Apr 13, 2016 at 18:51 | vote | accept | Dylan Thurston | ||
| Apr 13, 2016 at 18:35 | history | answered | Uri Bader | CC BY-SA 3.0 |