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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

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

This article is cited in 7 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.

UDC: 512.54

Received: 13.04.2015

DOI: 10.4213/faa3205


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

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