Word distance on the discrete Heisenberg group

Volume 95 / 2003

Sébastien Blachère Colloquium Mathematicum 95 (2003), 21-36 MSC: 05C25, 20F65. DOI: 10.4064/cm95-1-2

Abstract

We establish an exact formula for the word distance on the discrete Heisenberg group ${{\mathbb H}}_3$ with its standard set of generators. This formula is then used to prove the almost connectedness of the spheres for this distance.

Authors

  • Sébastien BlachèreLaboratoire de Statistique et Probabilités
    Université Paul Sabatier
    31062 Toulouse Cedex 4, France
    and
    DMA
    École Polytechnique Fédérale de Lausanne
    1015 Lausanne, Switzerland
    e-mail
    e-mail
    e-mail

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