Work

Discrete Linear Groups containing Arithmetic Groups

Year: 2009
Type: preprint
Abstract: 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 $SL_n({\mathbb Z})$ .
Language: English
Open Access status: green
OpenAlex ID: W1490034572
Cites: 11
Cited by: 4
Related to: 10