3 papers
math.CO2024
Super Hayashi Quandles
Antonio Lages, Pedro Lopes
Quandles are right-invertible, right-self distributive (and idempotent) algebraic structures. Therefore, right translations are quandle automorphisms. It has been interesting to lo…
math.CO2024
On a Conjecture by Hayashi on Finite Connected Quandles
Antonio Lages, Pedro Lopes
A quandle is an algebraic structure whose binary operation is idempotent, right-invertible and right self-distributive. Right-invertibility ensures right translations are permutati…
math.GR2018
Quandles of cyclic type with several fixed points
António Lages, Pedro Lopes
A quandle of cyclic type of order with fixed points is such that each of its permutations splits into cycles of length and one cycle of length . In this…