Cayley graphs provide a powerful and intuitive framework linking group theory with graph theory by representing groups through vertices and edges defined by a generating set. In the realm of finite ...

The Journal of the American Mathematical Society, begun in 1988, is published quarterly. It contains research articles of the highest quality in all areas of pure and applied mathematics. Publisher ...

Fusion systems have emerged as a powerful conceptual framework that encapsulates the conjugation relationships among p-subgroups of finite groups. This categorical approach not only unifies aspects of ...

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 ...

We classify the sequences $\langle S_n \mid n \in \mathbb{N}\rangle$ of finite simple nonabelian groups such that Πn Sn has uncountable cofinality. Journal Information This monthly journal, published ...