It is shown that for any prime p, and any non-negative integer w less than p, there exist p-blocks of symmetric groups of defect w, which are Morita equivalent to the principal p-block of the group Sp o Sw. Combined with work of J. Rickard, this proves that Broue's abelian defect group conjecture holds for p-blocks of symmetric groups of defect at most 5.
|Translated title of the contribution||Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture|
|Pages (from-to)||174 - 184|
|Number of pages||11|
|Journal||Bulletin of the London Mathematical Society|
|Publication status||Published - Mar 2002|
Bibliographical notePublisher: Cambridge University Press
Other identifier: EISSN: 1469-2120