Geodesic words in central extension of the Klein bottle group
Group Theory
2022-05-09 v2
Abstract
In this work, we give a complete description of the language of geodesic words for a central extension of the fundamental group of the Klein Bottle with respect to the standard two-element generating set. Besides, we prove that there are no dead ends in the group. Finally, we give a new sufficient condition for the absence of dead ends.
Cite
@article{arxiv.2204.07383,
title = {Geodesic words in central extension of the Klein bottle group},
author = {Oleg Chistov and Ruslan Magdiev},
journal= {arXiv preprint arXiv:2204.07383},
year = {2022}
}