S. Ribas

activity

20172022

collaborators

Showing math.NTShow all

6 papers · 1 filter

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…

math.NT2019

Permutations from an arithmetic setting

Lucas Reis, Sávio Ribas

Let $m, n$ be positive integers such that $m > 1$ divides $n$ . In this paper, we introduce a special class of piecewise-affine permutations of the finite set $[1, n]:=\{1, \ldots, n\…

math.NT2018

The subsums of zero-sum free sequences in finite cyclic groups

Sávio Ribas

Let $Z_{n}$ be the cyclic group of order $n \geq 3$ additively written. S. Savchev \& F. Chen (2007) proved that for each zero-sum free sequence $S = a_1 \bullet \dots \bullet…

math.NT2017

Extremal product-one free sequences in Dihedral and Dicyclic groups

Fabio Enrique Brochero Martínez, Sávio Ribas

Let $G$ be a finite group, written multiplicatively. The Davenport constant of $G$ is the smallest positive integer $D (G)$ such that every sequence of $G$ with $D (G)$ elements has…

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

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