Discrete Linear Groups containing Arithmetic Groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2009
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| _version_ | 1866914073063456768 |
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| author | Chatterji, Indira Venkataramana, T. N. |
| author_facet | Chatterji, Indira Venkataramana, T. N. |
| contents | We prove in a large number of cases, that a Zariski dense discrete subgroup of a simple real algebraic group $G$ which contains a higher rank lattice is a lattice in the group $G$. For example, we show that a Zariski dense subgroup of $SL_n({\mathbb R})$ which contains $SL_3({\mathbb Z})$ in the top left hand corner, is conjugate to $SL_n({\mathbb Z})$ . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0905_1813 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Discrete Linear Groups containing Arithmetic Groups Chatterji, Indira Venkataramana, T. N. Group Theory 22E40, 20G30 We prove in a large number of cases, that a Zariski dense discrete subgroup of a simple real algebraic group $G$ which contains a higher rank lattice is a lattice in the group $G$. For example, we show that a Zariski dense subgroup of $SL_n({\mathbb R})$ which contains $SL_3({\mathbb Z})$ in the top left hand corner, is conjugate to $SL_n({\mathbb Z})$ . |
| title | Discrete Linear Groups containing Arithmetic Groups |
| topic | Group Theory 22E40, 20G30 |
| url | https://arxiv.org/abs/0905.1813 |