Word distance on the discrete Heisenberg group
Volume 95 / 2003
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.
