2 papers
math.GR2025
The Number of Solvabilizers in Finite Groups
Banafsheh Akbari, Ethan Han, Sasha Lin +1
Considering a finite group , for any element , the solvabilizer of in is defined as . 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…