3 papers
math.GT2025
More Automorphism Groups of Quandles
Quinn J. M. Salix, Peyton Phinehas Wood
We prove that the displacement group of the dihedral quandle with n elements is isomorphic to the group generated by rotations of the n/2-gon when n is even and the n-gon when n is…
math.GT2025
Distinguishing Power of 4-Legendrian Permutation Racks
Luc Ta, Peyton Phinehas Wood
We study 4-Legendrian racks and their effectiveness at distinguishing Legendrian knots. We prove that permutation racks with 4-Legendrian rack structures cannot distinguish Legendr…
math.GT2025
Spherical Knot Mosaics
Ally Nagasawa-Hinck, Peyton Phinehas Wood
In this paper we introduce the notion of a spherical knot mosaic where a knot is represented by tiling the surface of a topological 2-sphere with 11 canonical knot mosaic tiles and…