Involutory quandles of (2,2,r)-Montesinos links
Jim Hoste, Patrick D. Shanahan
TL;DR
This paper proves that a class of Montesinos links, called (2,2,r)-Montesinos links, have finite involutory quandles and explores their properties, extending previous results on related link types.
Contribution
It establishes the finiteness of involutory quandles for (2,2,r)-Montesinos links and describes their properties, generalizing earlier work on (2, 2, q)-pretzel links.
Findings
(2,2,r)-Montesinos links have finite involutory quandles
The paper extends Winker's observation to a broader class of links
Properties of these quandles are characterized
Abstract
In this paper we show that Montesinos links of the form L(1/2, 1/2, p/q;e), which we call (2,2,r)-Montesinos links, have finite involutory quandles. This generalizes an observation of Winker regarding the (2, 2, q)-pretzel links. We also describe some properties of these quandles.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Finite Group Theory Research