Geodesic
Word distance on the discrete Heisenberg group
Sébastien Blachère1
1 Laboratoire de Statistique et Probabilités Université Paul Sabatier 31062 Toulouse Cedex 4, France and DMA École Polytechnique Fédérale de Lausanne 1015 Lausanne, Switzerland
Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 21-36

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm95-1-2
Keywords: establish exact formula word distance discrete heisenberg group mathbb its standard set generators formula prove almost connectedness spheres distance

Sébastien Blachère 1

1 Laboratoire de Statistique et Probabilités Université Paul Sabatier 31062 Toulouse Cedex 4, France and DMA École Polytechnique Fédérale de Lausanne 1015 Lausanne, Switzerland 
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Sébastien Blachère. Word distance on the discrete Heisenberg group. Colloquium Mathematicum, Tome 95 (2003) no. 1, pp. 21-36. doi: 10.4064/cm95-1-2

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