Some Baumslag-Solitar groups are two bridges virtual knots

Autor:	Rodríguez, J. G., Salazar-Díaz, O. P., Mira, J. J.
Rok vydání:	2015
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	In this paper we give necessary conditions on group presentations, with two generators and one relator, in order to be the group of a virtual knot diagram. Although those conditions are not enough, we use them to determine, completely, whether or not a Baumslag-Solitar group is the group of a $2$-bridge virtual knot. Moreover, we present a combinatorial proof of the fact that these groups are not $2$-bridge classical knot groups.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.03389 Zobrazit plný text záznamu View this record from Arxiv