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Polygonal complexes and combinatorial group theory

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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.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Bonn, Wegelerstr. 10, 53115, Bonn, Germany

    W. Ballmann

  2. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA

    M. Brin

Authors
  1. W. Ballmann
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  2. M. Brin
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Partially supported by NSF DMS-9104134.

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Ballmann, W., Brin, M. Polygonal complexes and combinatorial group theory. Geom Dedicata 50, 165–191 (1994). https://doi.org/10.1007/BF01265309

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