S. Ribas

activity

20162026

most citedGenerators of finite fields with prescribed traces

4 citations · 7 across the 10 of their papers we have counts for

collaborators

12 papers

math.CO2026

On a class of combinatorial group invariants

Arthur Fernandes, Claudio Qureshi, Lucas Reis +1

In this paper, we explore group invariants arising from combinatorial structures associated with finite groups, including the functional graphs of power maps and the well-studied p…

math.NT2022

$r$ -primitive $k$ -normal elements in arithmetic progressions over finite fields

Josimar J. R. Aguirre, Abílio Lemos, Victor G. L. Neumann +1

Let $F_{q^{n}}$ be a finite field with $q^{n}$ elements. For a positive divisor $r$ of $q^{n} - 1$ , the element $α \in F_{q^{n}}^{*}$ is called \textit{ $r$ -primitive} if its m…

math.NT2022

On arithmetic progressions in finite fields

Abílio Lemos, Victor Neumann, Sávio Ribas

In this paper, we explore the existence of $m$ -terms arithmetic progressions in $F_{q^{n}}$ with a given common difference whose terms are all primitive elements, and at lea…

math.NT2022

On the direct and inverse zero-sum problems over $C_{n} ⋊_{s} C_{2}$

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

Let $C_{n}$ be the cyclic group of order $n$ . In this paper, we provide the exact values of some zero-sum constants over $C_{n} ⋊_{s} C_{2}$ where $s \neq \equiv \pm 1 (mod n)$ , namely…

math.NT2021

The main zero-sum constants over $D_{2 n} \times C_{2}$

Fabio Enrique Brochero Martínez, Abílio Lemos, B. K. Moriya +1

Let $C_{2}$ be the cyclic group of order $2$ and $D_{2 n}$ be the dihedral group of order $2 n$ , where $n$ is even. In this paper, we provide the exact values of some zero-sum constant…

math.NT2021

Extremal product-one free sequences over $C_{n} ⋊_{s} C_{2}$

Fabio Enrique Brochero Martínez, Sávio Ribas

Let $G$ be a finite group multiplicatively written. The small Davenport constant of $G$ is the maximum positive integer $d (G)$ such that there exists a sequence $S$ of length…

On a class of combinatorial group invariants

r-primitive k-normal elements in arithmetic progressions over finite fields

On arithmetic progressions in finite fields

On the direct and inverse zero-sum problems over Cn​⋊s​C2​

The main zero-sum constants over D2n​×C2​

Extremal product-one free sequences over Cn​⋊s​C2​

$r$ -primitive $k$ -normal elements in arithmetic progressions over finite fields

On the direct and inverse zero-sum problems over $C_{n} ⋊_{s} C_{2}$

The main zero-sum constants over $D_{2 n} \times C_{2}$

Extremal product-one free sequences over $C_{n} ⋊_{s} C_{2}$