N. Gavioli

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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.GR2025

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.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.GR2025

The derangements subgroup in a finite permutation group and the Frobenius--Wielandt Theorem

R. A. Bailey, P. J. Cameron, N. Gavioli +1

It is known that if the derangements subgroup of a transitive non-regular permutation group is a proper subgroup, then it is a Frobenius--Wielandt kernel, and, conversely, minimal…

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

Transfinite hypercentral iterated wreath product of integral domains

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

The derangements subgroup in a finite permutation group and the Frobenius--Wielandt Theorem

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

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