Timeline for subgroups of higher rank lattices
Current License: CC BY-SA 3.0
10 events
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Feb 17, 2013 at 9:39 | vote | accept | Venkataramana | ||
| Feb 17, 2013 at 9:42 | |||||
| Feb 17, 2013 at 7:18 | comment | added | Venkataramana | Yes, for some (many) lattices in $SU(n,1)$ and $SO(n,1)$ one has infinite abelianisation. Don't know what happens for $Sp(n,1)$ lattices (or lattices in the real rank one form of $F_4$). | |
| Feb 17, 2013 at 6:27 | comment | added | Misha | Such decompositions of course exist for some rank 1 lattices: The ones with infinite abelianization. Maybe this is the reason the question was asked in the higher rank case. | |
| Feb 17, 2013 at 6:07 | comment | added | Venkataramana | Sorry; I don't know if this is true for $SL_2({\mathbb Z})$. Since this is asked for higher rank lattices, I suspect that perhaps for real rank one lattices, it may be false. | |
| Feb 17, 2013 at 5:56 | comment | added | Misha | Aakumadula: Do you know the answer even for $SL(2,Z)$? At least, I do not see an obvious way to find an AH-decomposition as the group has finite abelianization. | |
| Feb 17, 2013 at 5:43 | history | edited | Venkataramana | CC BY-SA 3.0 |
effected some changes suggested by some comments
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| Feb 17, 2013 at 5:26 | comment | added | Misha | You should add the assumption that the lattice is irreducible and in a semisimple Lie group. | |
| Feb 17, 2013 at 3:55 | history | edited | Venkataramana | CC BY-SA 3.0 |
corrected some typos
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| Feb 17, 2013 at 2:36 | history | asked | Venkataramana | CC BY-SA 3.0 |