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Pré-Publication, Document De Travail Année : 2009

Discrete Linear Groups containing Arithmetic Groups

Résumé

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 $SL_n({\mathbb Z})$ .

Dates et versions

hal-00470793 , version 1 (07-04-2010)

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Indira Chatterji, T. N. Venkataramana. Discrete Linear Groups containing Arithmetic Groups. 2009. ⟨hal-00470793⟩
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