A research team of mathematicians and computer scientists has used machine learning to reveal new mathematical structure within the theory of finite groups. By training neural networks to recognise ...

Fusion systems provide an abstract framework for encoding the conjugacy relations of subgroups within a finite group, isolating the “p-local” behaviour at a fixed prime p. Rather than studying an ...

In finite group theory, the order of an element—defined as the least positive integer n for which the nth power of the element equals the identity—serves as a fundamental invariant linking group ...