Timeline for Subgroups of $SL_2(F)$ generated by unipotent elements
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 14, 2013 at 22:02 | comment | added | Geoff Robinson | @Agol: A valid point; there are many ways to get there. | |
| Mar 14, 2013 at 21:41 | comment | added | Ian Agol | Maybe one ought to remark here that any two non-commuting unipotent elements are conjugate to a pair of this type. A unipotent element fixes a unique point of $F\mathbb{P}^1$. The action of $SL(2,F)$ on $F\mathbb{P}^1$ is transitive on pairs of points in $F\mathbb{P}^1$, so one may assume the fixed point of one unipotent is $\infty$, and the other is $0$, giving the desired normalization (but where the lower left entry of the first matrix might not be $1$). | |
| Mar 14, 2013 at 20:51 | vote | accept | Jean Raimbault | ||
| Mar 14, 2013 at 20:46 | history | answered | Geoff Robinson | CC BY-SA 3.0 |