Some Baumslag-Solitar groups are two-bridge virtual knot groups.

Autor:	Mira-Albanés, Jhon Jader, Rodríguez-Nieto, José Gregorio, Salazar-Díaz, Olga Patricia
Předmět:	GROUP theory KNOT theory GENERATORS (Computer programs) COMBINATORICS MATHEMATICAL proofs
Zdroj:	Journal of Knot Theory & Its Ramifications; Apr2017, Vol. 26 Issue 4, p-1, 18p
Abstrakt:	In this paper, we give sufficient 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 two-bridge virtual knot. Moreover, we present a combinatorial proof of the fact that these groups are not two-bridge classical knot groups. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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