Characteristic random subgroups of geometric groups and free abelian groups of infinite rank

Lewis Bowen, Rostislav Grigorchuk, Rostyslav Kravchenko

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We show that if G is a non-elementary word hyperbolic group, mapping class group of a hyperbolic surface or the outer automorphism group of a non-abelian free group, then G has 20 many non-atomic ergodic invariant random subgroups. If G is a non-abelian free group, then G has 20 many non-atomic G-ergodic characteristic random subgroups. We also provide a complete classification of characteristic random subgroups of free abelian groups of countably infinite rank and elementary p-groups of countably infinite rank.

Original languageEnglish (US)
Pages (from-to)755-781
Number of pages27
JournalTransactions of the American Mathematical Society
Volume369
Issue number2
DOIs
StatePublished - 2017

Keywords

  • Free abelian group
  • Invariant random subgroup

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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