Some Remarks on dp-Minimal Groups

Itay Kaplan, Elad Levi, Pierre Simon

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


We prove that ω-categorical dp-minimal groups are nilpotent-by-finite, a small step in the general direction of proving this for NIP ω-categorical groups. We also show that in dp-minimal definably amenable groups, f-generic global types are strongly f-generic.
Original languageEnglish
Title of host publicationGroups, Modules, and Model Theory
Subtitle of host publicationSurveys and Recent Developments
PublisherSpringer International Publishing AG
Number of pages14
ISBN (Electronic)978-3-319-51718-6
ISBN (Print)9783319517179, 9783319517186, 9783319847252
StatePublished - 4 Jun 2017


  • Omega-categorical groups
  • Dp-minimal groups
  • Definably amenable groups


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