4 papers
Long-term behavior of casino games
S. N. Ethier, L. Stefanello
We study the asymptotic behavior of the ratio of total return (or total profit) to total amount bet in a casino game. While the limit is well understood when the sequence of wagers…
Classification of the types for which every Hopf--Galois correspondence is bijective
Lorenzo Stefanello, Cindy Tsang
Let be any finite Galois extension with Galois group . It is known by Chase and Sweedler that the Hopf--Galois correspondence is injective for every Hopf--Galois structure…
On Fuchs' problem for finitely generated abelian groups: The small torsion case
I. Del Corso, L. Stefanello
A classical problem, raised by Fuchs in 1960, asks to classify the abelian groups which are groups of units of some rings. In this paper, we consider the case of finitely generated…
From endomorphisms to bi-skew braces, regular subgroups, the Yang--Baxter equation, and Hopf--Galois structures
A. Caranti, L. Stefanello
The interplay between set-theoretic solutions of the Yang--Baxter equation of Mathematical Physics, skew braces, regular subgroups, and Hopf--Galois structures has spawned a consid…