Membership Problem in groups acting freely on Zn-trees

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Groups acting freely on Zn-trees (Zn-free groups) play a key role in the study of non-archimedean group actions. Following Stallings' ideas, we develop graph-theoretic techniques to investigate subgroup structure of Zn-free groups. As an immediate application of the presented method, we give an effective solution to the Uniform Membership Problem and the Power Problem in Zn-free groups.

Original languageEnglish
Pages (from-to)410-444
Number of pages35
JournalJournal of Algebra
StatePublished - Nov 15 2012

ASJC Scopus subject areas

  • Algebra and Number Theory


  • Group actions
  • Membership Problem
  • Zn-trees


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