Showing math.GRShow all
3 papers · 1 filter
math.GR2026
A probabilistic approach to the Yang--Baxter equation and skew braces
Maria Ferrara, Marco Trombetti, Cindy Tsang
We investigate finite non-degenerate set-theoretic solutions to the Yang--Baxter equation and skew braces using a probabilistic approach. We introduce four probabilities that measu…
math.GR2025
On cardinalities whose arithmetical properties determine the structure of solutions of the Yang--Baxter equation
Maria Ferrara, Marco Trombetti, Cindy Tsang
The aim of this paper is to provide purely arithmetical characterisations of those natural numbers for which every non-degenerate set-theoretic solution of cardinality of t…
math.GR2024
Normalizer Quotients of Symmetric Groups and Inner Holomorphs
Alexei Entin, Cindy Tsang
We show that every finite group is isomorphic to a normalizer quotient for some and a subgroup . We show that this holds for all large enough $n\g…