Recent advances in the study of finite groups have underscored the profound role of character degrees and codegrees in understanding group structure and representation theory. A character degree, ...

Integral Cayley graphs, a notable subject within spectral graph theory, are graphs constructed from finite groups with the defining property that all eigenvalues of their associated adjacency matrices ...

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 ...

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 ...

This section introduces the main function to compute a representation of a finite group G affording an irreducible character chi of G.

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 ...