On commensurator growth

Nir Avni; Seonhee Lim; Eran Nevo

doi:https://doi.org/10.1007/s11856-011-0122-5

On commensurator growth

Nir Avni, Seonhee Lim, Eran Nevo

Department of Mathematics

Ben-Gurion University of the Negev

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

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	American English
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 - 1 Mar 2012

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

https://doi.org/10.1007/s11856-011-0122-5

Cite this

@article{b91556519ae04b8899aaf84759c3a31d,

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",

month = mar,

day = "1",

doi = "https://doi.org/10.1007/s11856-011-0122-5",

language = "American English",

volume = "188",

pages = "259--279",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - On commensurator growth

AU - Avni, Nir

AU - Lim, Seonhee

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 - 2012/3/1

Y1 - 2012/3/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84858437314&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s11856-011-0122-5

DO - https://doi.org/10.1007/s11856-011-0122-5

M3 - Article

SN - 0021-2172

VL - 188

SP - 259

EP - 279

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

On commensurator growth

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this