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arXiv · 2204.07383

Geodesic words in central extension of the Klein bottle group

Oleg Chistov·Ruslan Magdiev
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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.

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Oleg Chistov, Ruslan Magdiev. 2022-04-15. Geodesic words in central extension of the Klein bottle group. https://arxiv.org/abs/2204.07383

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