Britta Spth's Group Theory Challenge
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McKay conjectureWired
•Science
Science
A Math Couple Solves a Major Group Theory Problem—After 20 Years of Work
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The McKay conjecture is one of the biggest open problems in the mathematical realm known as group theory.
It says that if you want to formulate a thorough description of a group, you only need to look at a tiny piece of it.
Britta Späth and Marc Cabanes have finally proved the McKay conjecture.
The McKay conjecture predicted that a Sylow normalizer could give insights into a finite group’s overall structure.
If true, it would make mathematicians’ lives much easier to work with.
It would also hint at the presence of a deeper mathematical truth, one that mathematicians don’t yet have a handle on.
The project to classify all the building blocks of finite groups required thousands of proofs and took more than 100 years to complete.
Britta Späth , a graduate student at the University of Kassel , Germany , spent years working on the McKay conjecture.
Her work led them to develop a deep understanding of groups of Lie type.
By 2018 , they had just one category of Lie-type groups left, and the last case was done.