3 papers
math.QA2026
Involutive (simple) latin solutions of the Yang-Baxter equation and related (left) quasigroups
Marco Bonatto, Marco Castelli
In this paper, we study involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation with regular displacement group. In particular, we completely describe the blo…
math.GR2025
Latin quandles of size
Marco Bonatto, Filippo Spaggiari
In this paper we obtain the classification of latin quandles of size where is an odd prime. In particular we have that such quandles are always subdirectly reducible but…
math.GR2025
On Core Quandles
Filippo Spaggiari, Marco Bonatto
We characterize several properties of core quandles in terms of the properties of their underlying groups. Specifically, we characterize connected cores providing an answer to an o…