Group theory serves as a fundamental language for describing symmetry in both mathematics and physics. Finite groups, defined by their limited number of elements, are central to modern algebra and ...

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, ...

In a recent paper, W. J. Wong characterized the finite projective symplectic groups $\operatorname{PSp}(4, q)$ where $q$ is a power of an odd prime integer by the ...

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 ...

If f is a nonzero complex-valued function defined on a finite abelian group A and f̂ is its Fourier transform, then |supp(f)|| supp(f̂)| ≥ |A|, where supp(f) and supp(f̂) are the supports of f and f̂.

Mathematician Walter Feit, a Yale professor for 40 years, died at age 73 after a long illness on July 29, 2004 at the Connecticut Hospice in Branford, CT. Professor Feit was a pure mathematician whose ...

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 ...

A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory. In 1892, the mathematician Otto Hölder posed a question that would occupy the field for ...

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 ...