Geometriae Dedicata

, Volume 50, Issue 2, pp 165–191

Polygonal complexes and combinatorial group theory


  • W. Ballmann
    • Mathematisches InstitutUniversität Bonn
  • M. Brin
    • Department of MathematicsUniversity of Maryland

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)


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© Kluwer Academic Publishers 1994