N. Gavioli

activity

20162026

most citedRegular subgroups with large intersection

11 citations · 33 across the 18 of their papers we have counts for

collaborators

19 papers

math.GR2026

Near-Rings and Skew Braces

Riccardo Aragona, Norberto Gavioli, Martina Iannaccone +1

This paper provides a deeper analysis of Rump's correspondence between near-rings and skew braces. We show that, under a topological assumption on the structure of a near-ring, Rum…

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★ 1 cited

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…

math.RA2023

Ideally $r$ -constrained graded Lie subalgebras of maximal class algebras

Marina Avitabile, Norberto Gavioli, Valerio Monti

Let $E \supseteq F$ be a field extension and $M$ a graded Lie algebra of maximal class over $E$ . We investigate the $F$ -subalgebras $L$ of $M$ , generated by elements of degree $1$ .…

math.CO2023

A definitely periodic chain in the integral Lie ring of partitions

Riccardo Aragona, Roberto Civino, Norberto Gavioli

Given an integer $n$ , we introduce the integral Lie ring of partitions with bounded maximal part, whose elements are in one-to-one correspondence to integer partitions with parts i…

math.RA2023

A modular idealizer chain and unrefinability of partitions with repeated parts

Riccardo Aragona, Roberto Civino, Norberto Gavioli

Recently Aragona et al. have introduced a chain of normalizers in a Sylow 2-subgroup of Sym(2^n), starting from an elementary abelian regular subgroup. They have shown that the ind…

math.GR2022

GGS-groups over primary trees: Branch structures

Elena Di Domenico, Gustavo A. Fernández-Alcober, Norberto Gavioli

We study branch structures in Grigorchuk-Gupta-Sidki groups (GGS-groups) over primary trees, that is, regular rooted trees of degree $p^{n}$ for a prime $p$ . Apart from a small set o…

math.CO2021★ 2 cited

Unrefinable partitions into distinct parts in a normalizer chain

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

In a recent paper on a study of the Sylow 2-subgroups of the symmetric group with 2^n elements it has been show that the growth of the first (n-2) consecutive indices of a certain…

math.RA2021★ 1 cited

Thin subalgebras of Lie algebras of maximal class

M. Avitabile, A. Caranti, N. Gavioli +3

For every field $F$ which has a quadratic extension $E$ we show there are non-metabelian infinite-dimensional thin graded Lie algebras all of whose homogeneous components, except t…

math.GR2020★ 8 cited

Rigid commutators and a normalizer chain

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

The novel notion of rigid commutators is introduced to determine the sequence of the logarithms of the indices of a certain normalizer chain in the Sylow 2-subgroup of the symmetri…

math.GR2020★ 5 cited

A Chain of Normalizers in the Sylow $2$ -subgroups of the symmetric group on $2^{n}$ letters

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

On the basis of an initial interest in symmetric cryptography, in the present work we study a chain of subgroups. Starting from a Sylow $2$ -subgroup of AGL(2,n), each term of the c…

cs.CR2020

An Authenticated Key Scheme over Elliptic Curves for Topological Networks

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

Nodes of sensor networks may be resource-constrained devices, often having a limited lifetime, making sensor networks remarkably dynamic environments. Managing a cryptographic prot…

math.GR2018★ 11 cited

Regular subgroups with large intersection

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow $2$ -subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mat…

math.GR2018

The breadth-degree type of a finite $p$ -group

Norberto Gavioli, Avinoam Mann, Valerio Monti

We determine an upper bound for the size of a stem $p$ -group in terms of its breadth and its maximum character degree.

math.GR2017★ 3 cited

Beauville $p$ -groups of wild type and groups of maximal class

Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül +1

Let $G$ be a Beauville finite $p$ -group. If $G$ exhibits a `good behaviour' with respect to taking powers, then every lift of a Beauville structure of $G /Φ (G)$ is a Beauville struc…

math.GR2017★ 1 cited

Metabelian thin Beauville $p$ -groups

Norberto Gavioli, Şükran Gül, Carlo Scoppola

A non-cyclic finite $p$ -group $G$ is said to be thin if every normal subgroup of $G$ lies between two consecutive terms of the lower central series and $∣ γ_{i} (G) : γ_{i + 1} (G) ∣ \leq p^{2}$ …

math.GR2016★ 1 cited

Non-inner automorphisms of order p in finite normally constrained p-groups

Norberto Gavioli, Leire Legarreta, Marco Ruscitti

In this paper we study the existence of at least one non-inner automorphism of order p in a finite normally constrained p-group when p is an odd prime.

Near-Rings and Skew Braces

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

Transfinite hypercentral iterated wreath product of integral domains

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

Ideally r-constrained graded Lie subalgebras of maximal class algebras

A definitely periodic chain in the integral Lie ring of partitions

A modular idealizer chain and unrefinability of partitions with repeated parts

GGS-groups over primary trees: Branch structures

Unrefinable partitions into distinct parts in a normalizer chain

Thin subalgebras of Lie algebras of maximal class

Rigid commutators and a normalizer chain

A Chain of Normalizers in the Sylow 2-subgroups of the symmetric group on 2n letters

An Authenticated Key Scheme over Elliptic Curves for Topological Networks

Regular subgroups with large intersection

The breadth-degree type of a finite p-group

Beauville p-groups of wild type and groups of maximal class

Metabelian thin Beauville p-groups

Non-inner automorphisms of order p in finite normally constrained p-groups

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

Ideally $r$ -constrained graded Lie subalgebras of maximal class algebras

A Chain of Normalizers in the Sylow $2$ -subgroups of the symmetric group on $2^{n}$ letters

The breadth-degree type of a finite $p$ -group

Beauville $p$ -groups of wild type and groups of maximal class

Metabelian thin Beauville $p$ -groups