Section: New Results

Feit-Thompson

The Feit-Thompson is an important theorem stating that every finite group of odd order is solvable. It is an important step in the classification of finite groups. Its proof is remarkable through its difficulty and its length (more than 1000 pages of dense mathematical text).

This proof was entirely formalized in Coq. This effort was started six years ago, as a joint project of the project teams Typical, Marelle (Sophia-Antipolis) and the Inria-MSR joint center, under the supervision of Georges Gonthier. The proof was finished in september 2012 and is considered a remarkable achievement. It also gave birth to several side products, such as enhancements of the SSReflect proof language. For Typical, Assia Mahboubi, Enrico Tassi and Cyril Cohen were instrumental in this effort.