The 27 Mathematical Equations That Could Destroy Civilization If Solved

16. The Inverse Galois Problem

The Inverse Galois Problem asks which algebraic groups can arise as symmetries of solutions to polynomial equations. A complete solution would revolutionize abstract algebra and could either strengthen or undermine cryptographic systems based on algebraic structures. This mathematical breakthrough might open new doors for secure communication—or expose hidden vulnerabilities. Learn more about the Inverse Galois Problem.