Trivial source bimodule rings for blocks and p-permutation equivalences

Markus Linckelmann

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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
Volume361
Issue number3
Early online date10 Oct 2008
Publication statusPublished - Mar 2009

Keywords

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

Cite this