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Generations for Arithmetic Groups

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Abstract

We prove that any noncocompact irreducible lattice in a higher rank real semi-simple Lie group contains a subgroup of finite index which is generated by three elements.

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Correspondence to T. N. Venkataramana.

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A sizeable part of this paper forms the thesis of R. Sharma, submitted in April 2004 to the Tata Institute of Fundamental Research, Mumbai for the award of a PhD degree.

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Sharma, R., Venkataramana, T.N. Generations for Arithmetic Groups. Geom Dedicata 114, 103–146 (2005). https://doi.org/10.1007/s10711-005-0123-9

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