Counting maximal arithmetic subgroups

Mathematics – Group Theory

Scientific paper

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26 pages, with an appendix by J. Ellenberg and A. Venkatesh; to appear in Duke Math. J

Scientific paper

We study the growth rate of the number of maximal arithmetic subgroups of
bounded covolumes in a semi-simple Lie group using an extension of the method
due to Borel and Prasad.

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