Geometriae Dedicata

, Volume 50, Issue 2, pp 165–191

Polygonal complexes and combinatorial group theory

  • W. Ballmann
  • M. Brin

DOI: 10.1007/BF01265309

Cite this article as:
Ballmann, W. & Brin, M. Geom Dedicata (1994) 50: 165. doi:10.1007/BF01265309


We study the structure of certain simply connected 2-dimensional complexes with non-positive curvature. We obtain a precise description of how these complexes behave at infinity and prove an existence theorem which gives an abundance of such complexes. We also investigate the structure of groups which act transitively on the set of vertices of such a complex.

Mathematics Subject Classifications (1991)

51K10 20Fxx 

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • W. Ballmann
    • 1
  • M. Brin
    • 2
  1. 1.Mathematisches InstitutUniversität BonnBonnGermany
  2. 2.Department of MathematicsUniversity of MarylandCollege ParkUSA

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