The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the ...

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 ...

If G is a finite group, p is a prime, and P is a Sylow p-subgroup of G, we study how the exponent of the abelian group P/P′ is affected and how it affects the values of the complex characters of G.

THE death of Ludvig Sylow (September 7, 1918), at the age of eighty-five, has removed an eminent mathematician, whose career was in many ways remarkable. Sylow's seventh published paper (“Théorèmes ...

In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were ...