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International Mathematics Research Notices Advance Access published online on September 20, 2009
International Mathematics Research Notices, doi:10.1093/imrn/rnp149
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Discrete Subgroups of Formula Generated by Triangular Matrices

Yves Benoist1 and Hee Oh2,3

1 Department of Mathematics, CNRS-Université Paris-Sud Bat 425, 91405, Orsay, France
2 Department of Mathematics, Brown University, Providence, RI 02912, USA
3 Korea Institute for Advanced Study, Seoul, Korea

Correspondence: Correspondence to be sent to: heeoh{at}math.brown.edu

Based on the ideas in some recently uncovered notes of Selberg [14] on discrete subgroups of a product of Formula ’s, we show that a discrete subgroup of Formula generated by lattices in the upper and lower triangular subgroups is an arithmetic subgroup and hence a lattice in Formula .

Communicated by Prof. Peter Sarnak


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