Trivial source bimodule rings for blocks and p-permutation equivalences

Markus Linckelmann

Research output: Contribution to journalArticle

19 Citations (Scopus)


We associate with any p-block of a finite group a Grothendieck ring of certain p-permutation bimodules. We extend the notion of p-permutation equivalences introduced by Boltje and Xu ( 2006) to source algebras of p-blocks of finite groups. We show that a p-permutation equivalence between two source algebras A, B of blocks with a common defect group and same local structure induces an isotypy.

Original languageEnglish
Pages (from-to)1279-1316
Number of pages38
JournalTransactions of the American Mathematical Society
Issue number3
Early online date10 Oct 2008
Publication statusPublished - Mar 2009


  • source algebras
  • fusion systems
  • construction
  • categories
  • characters
  • modules


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