Universal groups of intermediate growth and their invariant random subgroups

Creative Commons License

BENLİ M. G., Grigorchuk R., Nagnibeda T.

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, vol.49, no.3, pp.159-174, 2015 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 49 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1007/s10688-015-0101-4
  • Journal Name: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.159-174
  • Keywords: invariant random subgroup, group of intermediate growth, space of marked groups, SCHREIER GRAPHS
  • Open Archive Collection: AVESIS Open Access Collection
  • Middle East Technical University Affiliated: Yes

Abstract

We exhibit examples of groups of intermediate growth with ergodic continuous invariant random subgroups. The examples are the universal groups associated with a family of groups of intermediate growth.