Riccardo Aragona

activity

20242026

collaborators

6 papers

math.GR2026

Near-Rings and Skew Braces

Riccardo Aragona, Norberto Gavioli, Martina Iannaccone +1

This paper adapts Rump's correspondence between radical rings and braces to a more general setting, utilizing a suitable class of near-rings. Given a right near-ring $(R, +, \circ)$ …

math.GR2026

On Zappa--Szép products of a wreathed $2$ -group and a cyclic group

Riccardo Aragona, Martina Iannaccone

Let $n, m \ge 1$, and let $H = C_{2^n}\wr C_2$ be the wreathed $2$-group and $K = C_{2^m}=\langle z \rangle$ a cyclic group. We classify the Zappa--Szép products $G = HK$…

math.GR2026

On Zappa-Szép products of two semidihedral groups

Riccardo Aragona

Let $n, m \geq 4$ . We classify the Zappa--Szép products $G = H K$ with $H = ⟨ x ⟩ ⋊ ⟨ y ⟩ ≅ SD_{2^{n}}$ and $K = \langle z\rangle \rtimes \lang…

math.GR2025

Normality conditions in the Sylow $p$ -subgroup of $Sym (p^{n})$ and its associated Lie algebra

Riccardo Aragona, Norberto Gavioli, Giuseppe Nozzi

In this work, we give a description of the structure of the normal subgroups of a Sylow $p$ -subgroup $W_{n}$ of $Sym (p^{n})$ , showing that they contain a term from the lower c…

math.GR2024

Transfinite hypercentral iterated wreath product of integral domains

Riccardo Aragona, Norberto Gavioli, Giuseppe Nozzi

Starting with an integral domain $D$ of characteristic $0$ , we consider a class of iterated wreath product $W_{n}$ of $n$ copies of $D$ . In order that $W_{n}$ be transfinite hypercentr…

math.GR2024

A classification of module braces over the ring of $p$ -adic integers

Riccardo Aragona, Norberto Gavioli, Giuseppe Nozzi

In this paper we study the $R$ -braces $(M, +, \circ)$ such that $M \cdot M$ is cyclic, where $R$ is the ring of $p$ -adic and $\cdot$ is the product of the radical $R$ -algebra associat…

Near-Rings and Skew Braces

On Zappa--Szép products of a wreathed 2-group and a cyclic group

On Zappa-Szép products of two semidihedral groups

Normality conditions in the Sylow p-subgroup of Sym(pn) and its associated Lie algebra

Transfinite hypercentral iterated wreath product of integral domains

A classification of module braces over the ring of p-adic integers

On Zappa--Szép products of a wreathed $2$ -group and a cyclic group

Normality conditions in the Sylow $p$ -subgroup of $Sym (p^{n})$ and its associated Lie algebra

A classification of module braces over the ring of $p$ -adic integers