Section: New Results

A formal proof of the Feit-Thompson theorem

Participant : Assia Mahboubi [Contact] .

Assia Mahboubi has pursued her work in the Mathematical Component team lead by Georges Gonthier at the Microsoft Inria Joint Centre. She has finished the formalization of the Wielandt fixpoint theorem, which is one of the key results at the interface between the two components (local analysis and character theory) of the published revised proof of the Feit-Thompson theorem. The proof of the Wielandt theorem was difficult to formalize because it requires a challenging combination of advanced theories with sophisticated constructive formalization: group representation, module theory, linear algebra and characters.

The documentation of this formalization, as well as the current state of the whole formal proof can be found on the webpage of the Mathematical Components project .