Counting maximal arithmetic subgroups

Belolipetsky, M.; Ellenberg , J.; Venkatesh, A.

Abstract

We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semisimple Lie group using an extension of the method developed by Borel and Prasad.

Citation

Belolipetsky, M., Ellenberg, J., & Venkatesh, A. (2007). Counting maximal arithmetic subgroups. Duke Mathematical Journal, 140(1), 1-33. https://doi.org/10.1215/s0012-7094-07-14011-0

• Journal Article Type: Article
• Publication Date: Oct 1, 2007
• Deposit Date: Aug 27, 2008
• Publicly Available Date: Aug 27, 2008
• Journal: Duke Mathematical Journal
• Print ISSN: 0012-7094
• Electronic ISSN: 1547-7398
• Publisher: Duke University Press
• Peer Reviewed: Peer Reviewed
• Volume: 140
• Issue: 1
• Pages: 1-33
• DOI: https://doi.org/10.1215/s0012-7094-07-14011-0
• Keywords: Arithmetic groups, Lattices, Lie groups, Maximal lattices, Covolume.
• Public URL: https://durham-repository.worktribe.com/output/1567116
• Publisher URL: http://projecteuclid.org/euclid.dmj/1190730773