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 ...

We prove that there exists a constant k with the property: if C is a conjugacy class of a finite group G such that every k elements of C generate a solvable subgroup, then C generates a solvable ...

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 ...

The 2008 Abel Prize was awarded to John Griggs Thompson of the University of Florida and Jacques Tits of the Collège de France for their contributions to group theory, the mathematical field that ...

PASADENA – Michael Aschbacher, the Shaler Arthur Hanisch Professor of Mathematics at Caltech, will share the 2012 Wolf Prize in mathematics, Caltech officials announced Wednesday. The $100,000 award ...

Two breakthroughs in mathematics could reshape how researchers understand symmetries in nature and the behavior of complex systems. These advances, led by Pham Tiep, a professor at Rutgers University, ...