Finite involutory quandles of two-bridge links with an axis
arXiv:1912.11465
Abstract
To better understand the fundamental quandle of a knot or link, it can be useful to look at finite quotients of the quandle. One such quotient is the -quandle (or, when , the {\em involutory} quandle). Hoste and Shanahan \cite{HS2} gave a complete list of the links which have finite -quandles; it remained to give explicit descriptions of these quandles. This has been done for several cases in \cite{CHMS} and \cite{HS1}; in the current work we continue this project and explicitly describe the Cayley graphs for the finite involutory quandles of two-bridge links with an axis.
15 pages