Banafsheh Akbari

activity

20222025

most citedOn the solubilizer of an element in a finite group

4 citations · 4 across the 3 of their papers we have counts for

collaborators

4 papers

math.GR2025

The Number of Solvabilizers in Finite Groups

Banafsheh Akbari, Ethan Han, Sasha Lin +1

Considering a finite group $G$ , for any element $x \in G$ , the solvabilizer of $x$ in $G$ is defined as $S o l_{G} (x) = {y \in G : ⟨ x, y ⟩ is solvable}$ . In this pa…

math.GR2024

Solvabilizer Numbers of Finite Groups

Banafsheh Akbari, Tuval Foguel, Jack Schmidt

Consider a nonsolvable finite group G, where R(G) represents the solvable radical of G. For any element x in G, the solvabilizer of x in G, denoted by Sol_G(x), is defined as the s…

math.GR2023

Characterization of Solubilizers of Elements in Minimal Simple Groups

Banafsheh Akbari, Jake Chuharski, Vismay Sharan +1

Given a finite group $G$ , the solubilizer of an element $x$ , denoted by $\Sol_G(x)$, is the set of all elements $y$ such that $⟨ x, y ⟩$ is a soluble subgroup of $G$ . In…

math.GR2022★ 4 cited

On the solubilizer of an element in a finite group

Banafsheh Akbari, Costantino Delizia, Carmine Monetta

The solubility graph $Γ_{S} (G)$ associated with a finite group $G$ is a simple graph whose vertices are the elements of $G$ , and there is an edge between two distinct vertices if and…