On commensurator growth

Nir Avni; Seonhee Lim; Eran Nevo

doi:10.1007/s11856-011-0122-5

On commensurator growth

Nir Avni^*, Seonhee Lim, Eran Nevo

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	259-279
Number of pages	21
Journal	Israel Journal of Mathematics
Volume	188
Issue number	1
DOIs	https://doi.org/10.1007/s11856-011-0122-5
State	Published - Mar 2012

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s11856-011-0122-5

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title = "On commensurator growth",

abstract = "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.",

author = "Nir Avni and Seonhee Lim and Eran Nevo",

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",

year = "2012",

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doi = "10.1007/s11856-011-0122-5",

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AU - Nevo, Eran

N1 - 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

PY - 2012/3

Y1 - 2012/3

N2 - 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.

AB - 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.

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On commensurator growth

Abstract

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