Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case

Key Points

• The study explicitly constructs the arboreal galois group associated with certain polynomials.
• Focusing on periodic critical points, the findings reveal intricate structures within quadratic polynomials.
• An arbitrary field of characteristic not equal to 2 serves as the foundation for the applicable case analysis.
• This approach may lead to deeper insights into the dynamics of postcritically finite systems.