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 ...

Supercharacter theory offers a tractable refinement of classical character theory by consolidating characters and conjugacy classes into supercharacters and superclasses. Initially conceptualised to ...

This paper considers random walks on a finite group G, in which the probability of going from x to yx, x, y ∈ G, depends only on y. The main results concern the distribution of the number of steps it ...

Igor B. Frenkel, newly named as the Sol Goldman Family Professor of Mathematics, is a leading representation theorist and mathematical physicist. Frenkel studies finite and infinite dimensional ...