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Funktsional. Anal. i Prilozhen., 2015, Volume 49, Issue 3, Pages 1–21 (Mi faa3205)  

This article is cited in 2 scientific papers (total in 2 papers)

Universal Groups of Intermediate Growth and Their Invariant Random Subgroups

M. G. Benlia, R. I. Grigorchukb, T. V. Nagnibedac

a Middle East Technical University
b Texas A&M University
c University of Geneva

Abstract: We exhibit examples of groups of intermediate growth with $2^{\aleph_0}$ ergodic continuous invariant random subgroups. The examples are the universal groups associated with a family of groups of intermediate growth.

Keywords: invariant random subgroup, group of intermediate growth, space of marked groups

Funding Agency Grant Number
National Science Foundation DMS-1207699
Swiss National Science Foundation


DOI: https://doi.org/10.4213/faa3205

Full text: PDF file (292 kB)
References: PDF file   HTML file

English version:
Functional Analysis and Its Applications, 2015, 49:3, 159–174

Bibliographic databases:

UDC: 512.54
Received: 13.04.2015

Citation: M. G. Benli, R. I. Grigorchuk, T. V. Nagnibeda, “Universal Groups of Intermediate Growth and Their Invariant Random Subgroups”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 1–21; Funct. Anal. Appl., 49:3 (2015), 159–174

Citation in format AMSBIB
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\paper Universal Groups of Intermediate Growth and Their Invariant Random Subgroups
\jour Funktsional. Anal. i Prilozhen.
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\pages 1--21
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  • https://doi.org/10.4213/faa3205
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Proc. Steklov Inst. Math., 292 (2016), 94–111  mathnet  crossref  crossref  mathscinet  isi  elib
    2. N. Kalogeropoulos, “An entropy for groups of intermediate growth”, Adv. Math. Phys., 2017, 2863614, 8 pp.  crossref  mathscinet  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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