Actions, length functions, and non-archimedean words

Olga Kharlampovich, Alexei Myasnikov, Denis Serbin

Research output: Contribution to journalReview articlepeer-review

9 Scopus citations

Abstract

In this paper we survey recent developments in the theory of groups acting on Λ-trees. We are trying to unify all significant methods and techniques, both classical and recently developed, in an attempt to present various faces of the theory and to show how these methods can be used to solve major problems about finitely presented Λ-free groups. Besides surveying results known up to date we draw many new corollaries concerning structural and algorithmic properties of such groups.

Original languageEnglish
Pages (from-to)325-455
Number of pages131
JournalInternational Journal of Algebra and Computation
Volume23
Issue number2
DOIs
StatePublished - Mar 2013

Keywords

  • Group actions on trees
  • length functions
  • relatively hyperbolic groups
  • Λ-trees

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