Abstract
We show that each block whose defect groups intersect pairwise trivially either has cyclic or generalised quaternion defect groups, or is Morita equivalent to one of a given list of blocks of central extensions of automorphism groups of non-abelian simple groups. In particular we classify all blocks of automorphism groups of non-abelian simple groups whose defect groups are non-cyclic and intersect pairwise trivially. A consequence is that Donovan's conjecture holds for blocks whose defect groups intersect pairwise trivially.
Original language | English |
---|---|
Pages (from-to) | 461-486 |
Number of pages | 25 |
Journal | Mathematische Zeitschrift |
Volume | 247 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jul 2004 |
Keywords
- block theory
- finite groups