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 [4] 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.

Publication Type:	Article
Additional Information:	First published in Transactions of the American Mathematical Society in volume 361, number 3, 2009, published by the American Mathematical Society
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics

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