Word distance on the discrete Heisenberg group
Sébastien Blachère
Colloquium Mathematicae, Tome 96 (2003), p. 21-36 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We establish an exact formula for the word distance on the discrete Heisenberg group ℍ₃ with its standard set of generators. This formula is then used to prove the almost connectedness of the spheres for this distance.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285003 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-2,
     author = {S\'ebastien Blach\`ere},
     title = {Word distance on the discrete Heisenberg group},
     journal = {Colloquium Mathematicae},
     volume = {96},
     year = {2003},
     pages = {21-36},
     zbl = {1010.05034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-2}
}

Sébastien Blachère. Word distance on the discrete Heisenberg group. Colloquium Mathematicae, Tome 96 (2003) pp. 21-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-2/