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 ...

Combinatorial designs and finite group theory form a rich intersection of discrete mathematics and algebra, where structured arrangements of elements are studied alongside the algebraic properties 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 ...

Pure mathematics will remain more reliable than most other forms of knowledge, but its claim to a unique status will no longer be sustainable." So predicts Brian Davies, author of the article "Whither ...