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On commensurator growth

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Nir Avni

  2. Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, South Korea

    Seonhee Lim

  3. Department of Mathematics, Ben Gurion University of the Negev, Be’er Sheva, 84105, Israel

    Eran Nevo

Authors
  1. Nir Avni
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  2. Seonhee Lim
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  3. Eran Nevo
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Corresponding author

Correspondence to Nir Avni.

Additional 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.

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Avni, N., Lim, S. & Nevo, E. On commensurator growth. Isr. J. Math. 188, 259–279 (2012). https://doi.org/10.1007/s11856-011-0122-5

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

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