Geometric & Functional Analysis GAFA

, Volume 4, Issue 3, pp 337–371

Structure and rigidity in hyperbolic groups I

  • E. Rips
  • Z. Sela

DOI: 10.1007/BF01896245

Cite this article as:
Rips, E. & Sela, Z. Geometric and Functional Analysis (1994) 4: 337. doi:10.1007/BF01896245


We introduce certain classes of hyperbolic groups according to their possible actions on real trees. Using these classes and results from the theory of (small) group actions on real trees, we study the structure of hyperbolic groups and their automorphism group.

Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • E. Rips
    • 1
  • Z. Sela
    • 2
  1. 1.Dept. of MathematicsHebrew UniversityJerusalemIsrael
  2. 2.Dept. of MathematicsPrinceton UniversityPrincetonUSA