I. Lima

activity

20172026

most citedOn the number of cyclic subgroups of a finite group

10 citations · 15 across the 6 of their papers we have counts for

collaborators

7 papers

math.GR2026

On the Order of Products of Coprime Elements in Finite Groups

M. Amiri, I. Lima, S. Sousa

In this work, we introduce the subgroups $D_{m} (G)$ and $D_{m, n} (G)$ , defined in terms of the orders of products of coprime elements in a finite group $G$ . We show that both subgroup…

math.GR2022★ 1 cited

On the structure of $L C$ -nilpotent groups

M. Amiri, I. Kashuba, I. Lima

For a finite group $G$ , let $L C (G)$ be the subgroup generated by elements $x$ such that, for all $y \in G$ and all integers $n$ , the order of $x^{n} y$ divides the least common multi…

math.GR2020

Subgroup Separability of Artin Groups

Kisnney Almeida, Igor Lima

We find a condition on the underlying graph of an Artin group that fully determines if it is subgroup separable. As a consequence, an Artin group is subgroup separable if and only…

math.GR2020

The order of the product of two elements in the periodic groups

M. Amiri, I. Lima

Let $G$ be a periodic group, and let $L C M (G)$ be the set of all $x \in G$ such that $o (x^{n} z)$ divides the least common multiple of $o (x^{n})$ and $o (z)$ for all $z$ in $G$ and all int…

math.GR2019

A new characterization of simple $K_{3}$ -groups using same-order type

Igor Lima, Josyane Pereira

Let $G$ be a group, define an equivalence relation $\sim$ as below: $\forall g, h \in G, g \sim h ⟺ ∣ g ∣ = ∣ h ∣$ the set of sizes of equivalence classes with…

math.GR2018★ 4 cited

Maximal covers of finite groups

Igor Lima, Raimundo Bastos, José R. Rogério

Let $λ (G)$ be the maximum number of subgroups in an irredundant covering of the finite group $G$ . We prove that if $G$ is a group with $λ (G) ⩽ 6$ , then $G$ is supersolvable…

math.GR2017★ 10 cited

On the number of cyclic subgroups of a finite group

Igor Lima, Martino Garonzi

Let $G$ be a finite group and let $c (G)$ be the number of cyclic subgroups of $G$ . We study the function $α (G) = c (G) /∣ G ∣$ . We explore its basic properties and we point out a conne…