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.CO2008
Permutations Which Make Transitive Groups Primitive
Pedro Lopes
In this article we look into characterizing primitive groups in the following way. Given a primitive group we single out a subset of its generators such that these generators alone…