### Abstract

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 S-p graphics S-w. 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.

Original language | English |
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Pages (from-to) | 174-185 |

Number of pages | 11 |

Journal | Bulletin of the London Mathematical Society |

Volume | 34 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2002 |

### Keywords

- BLOCKS
- CATEGORIES

## Cite this

Chuang, J., & Kessar, R. (2002). Symmetric groups, wreath products, Morita equivalences and Broue's abelian defect group conjecture.

*Bulletin of the London Mathematical Society*,*34*(2), 174-185. https://doi.org/10.1112/S0024609301008839