On functorial equivalence classes of blocks of finite groups (Q6597181)

The article under review deals with the functorial equivalence classes of blocks of some finite groups. In fact, the author classifies the functorial equivalence classes over an algebraically closed field having zero characteristic of blocks with cyclic defect groups and 2-blocks of defects 2 and 3, respectively. In particular, he proves that, for all these blocks, the functorial equivalence classes depend only on the fusion system of the block. The main results are established in Theorems 1.2, 3.1, 4.1, 5.1, 6.1, 7.1 and 8.1, respectively.