16 citations · 67 across the 8 of their papers we have counts for
8 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…
On the connection between Hopf--Galois structures and skew braces
L. Stefanello, S. Trappeniers
We present a different version of the well-known connection between Hopf--Galois structures and skew braces, building on a recent paper of A. Koch and P. J. Truman. We show that th…
On bi-skew braces and brace blocks
L. Stefanello, S. Trappeniers
L. N. Childs defined a bi-skew brace to be a skew brace such that if we swap the role of the two operations, then we find again a skew brace. In this paper, we give a systematic an…
Skew braces from Rota--Baxter operators: a cohomological characterisation and some examples
A. Caranti, L. Stefanello
Rota-Baxter operators for groups were recently introduced by L. Guo, H. Lang, and Y. Sheng. V. G. Bardakov and V. Gubarev showed that with each Rota-Baxter operator one can associa…
Brace blocks from bilinear maps and liftings of endomorphisms
A. Caranti, L. Stefanello
We extend two constructions of Alan Koch, exhibiting methods to construct brace blocks, that is, families of group operations on a set such that any two of them induce a skew b…
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…