Symmetric groups, wreath products, Morita equivalences and Broue's abelian defect group conjecture

J. Chuang, Radha Kessar

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27 Citations (Scopus)

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 languageEnglish
Pages (from-to)174-185
Number of pages11
JournalBulletin of the London Mathematical Society
Volume34
Issue number2
DOIs
Publication statusPublished - 2002

Keywords

  • BLOCKS
  • CATEGORIES

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