On commensurator growth

Nir Avni*, Seonhee Lim, Eran Nevo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We study a new asymptotic invariant of a pair consisting of a group and a subgroup, which we call the commensurator growth. We compute the commensurator growth for several examples, concentrating mainly on the case of a locally compact topological group and a lattice inside it.

Original languageAmerican English
Pages (from-to)259-279
Number of pages21
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Mar 2012
Externally publishedYes

Bibliographical note

Funding Information:
∗ The first author was partially supported by NSF Award DMS-0901638. ∗∗ The second author was partially supported by Korean NRF 0409-20100101. † The third author was partially supported by an NSF Award DMS-0757828. Received November 20, 2009 and in revised form May 19, 2010


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