Timeline for Characterisation of Q-rank 1
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 5, 2014 at 13:58 | comment | added | ThiKu | I stand corrected. As pointed out by Venkataramana below, it's contained in Prop.1.6.2. of Margulis' book. | |
| Jan 14, 2014 at 23:24 | vote | accept | ThiKu | ||
| Jan 14, 2014 at 14:37 | answer | added | Venkataramana | timeline score: 6 | |
| Oct 12, 2013 at 19:49 | comment | added | ThiKu | Apparently not. | |
| Oct 8, 2013 at 12:05 | comment | added | Misha | I think it is in Margulis' book. | |
| Oct 8, 2013 at 6:28 | comment | added | Asaf | Have you tried to look for it in Margulis' book? or maybe Raghunathan's? | |
| Oct 8, 2013 at 5:18 | comment | added | ThiKu | Unfortunately that chapter 9 is unfinished and has no references yet. | |
| Oct 7, 2013 at 15:06 | comment | added | Asaf | This appears in Witte-Morris' book about arithmetic-groups - people.uleth.ca/~dave.morris/books/IntroArithGroups.pdf, see ch9 section H in there. | |
| Oct 7, 2013 at 13:51 | comment | added | YCor | Concerning the easy implication, probably superrigidity is enough, but I guess it can be avoided: for instance showing that $\mathbf{Q}$-rank $\le 1$ implies that every polycyclic subgroup is virtually nilpotent, while both of $SL_3(\mathbf{Z})$ and $SO(3,2)_\mathbf{Z}$ have polycyclic subgroups of exponential growth. | |
| Oct 7, 2013 at 13:35 | comment | added | YCor | The question should boil down to classifying (up to isogeny) minimal $\mathbf{Q}$-simple groups of $\mathbf{Q}$-rank $\ge 2$ and show that these are the $\mathbf{Q}$-split forms of $SO_5$ and $SL_3$. | |
| Oct 7, 2013 at 13:17 | history | asked | ThiKu | CC BY-SA 3.0 |