On the Glauberman and Watanabe correspondences for blocks of finite p-solvable groups

M. E. Harris, Markus Linckelmann

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

If G is a finite p-solvable group for some prime p, A a solvable subgroup of the automorphism group of G of order prime to \G\ such that A stabilises a p-block b of G and acts trivially on a defect group P of b, then there is a Morita equivalence between the block b and its Watanabe correspondent w(b) of C-G(A), given by a bimodule M with vertex DeltaP and an endo-permutation module as source, which on the character level induces the Glauberman correspondence (and which is an isotypy by Watanabe's results).

Original languageEnglish
Pages (from-to)3435-3453
Number of pages18
JournalTransactions of the American Mathematical Society
Volume354
Issue number9
DOIs
Publication statusPublished - 2002

Keywords

  • ENDO-PERMUTATION MODULES
  • EQUIVALENCES
  • EXTENSIONS

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