Involutory quandles of (2,2,r)-Montesinos links-Reference-Cited by-同舟云学术

Involutory quandles of (2,2,r)-Montesinos links

Published:2017-03 Issue:03 Volume:26 Page:1741003
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Hoste Jim¹,Shanahan Patrick D.²

Affiliation:

1. Pitzer College, 1050 N. Mills Ave, Claremont, CA 91711, USA

2. Loyola Marymount University, 1 LMU Drive, Suite 2700 University Hall, Los Angeles, CA 90045, USA

Abstract

In this paper, we show that Montesinos links of the form [Formula: see text], which we call [Formula: see text]-Montesinos links, have finite involutory quandles. This generalizes an observation of Winker regarding the [Formula: see text]-pretzel links. We also describe some properties of these quandles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517410036

Reference4 articles.

1. de Gruyter Studies in Mathematics;Burde G.,1985

2. RACKS AND LINKS IN CODIMENSION TWO

3. A classifying invariant of knots, the knot quandle

4. A practical method for enumerating cosets of a finite abstract group

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