Word distance on the discrete Heisenberg group

Sébastien Blachère. "Word distance on the discrete Heisenberg group." Colloquium Mathematicae 95.1 (2003): 21-36. <http://eudml.org/doc/285003>.

@article{SébastienBlachère2003,
abstract = {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.},
author = {Sébastien Blachère},
journal = {Colloquium Mathematicae},
keywords = {Heisenberg group; word distance; Cayley graph},
language = {eng},
number = {1},
pages = {21-36},
title = {Word distance on the discrete Heisenberg group},
url = {http://eudml.org/doc/285003},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Sébastien Blachère
TI - Word distance on the discrete Heisenberg group
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 21
EP - 36
AB - 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.
LA - eng
KW - Heisenberg group; word distance; Cayley graph
UR - http://eudml.org/doc/285003
ER -