Blocks with trivial intersection defect groups.
The main result of the paper under review gives a classification of blocks of finite groups with TI defect groups, up to Morita equivalence: Either the defect groups of such a block are cyclic or generalized quaternion, or the block is Morita equivalent to a block in an explicit list of examples. The groups in this list are all central extensions of groups of automorphisms of finite non-Abelian simple groups. The proof is based on the classification of finite simple groups. As an application, the authors show that Donovan's conjecture holds for blocks with TI defect groups.
scientific article; zbMATH DE number 2133489