Title: The Broue conjecture for the faithful blocks of 4.M22 Authors: Juergen Mueller and Mary Schaps Abstract: Construction of a tilting complex for these blocks, using Puig's construction of the stable equivalence for Frobenius actions. Provides an example of an elementary tilting not as decribed by Okuyama, but using Schaps' extension in "Deformations, tiltings, and decomposition matrices. Status: preprint.