50-Year-Old Math Conjecture Finally Proven: The McKay Conjecture
2025-02-20
The McKay Conjecture, a mathematical problem posed in the 1970s concerning finite groups and their Sylow normalizers, has finally been proven by Britta Späth and Michel Cabanes. The conjecture states that a crucial quantity for a finite group is equal to the same quantity for its Sylow normalizer (a much smaller subgroup). This proof, decades in the making, builds upon over a century of work classifying finite groups and involves deep insights into the representation theory of Lie-type groups. It's a monumental achievement in mathematics, simplifying group theory research and potentially leading to practical applications.