Trivial source bimodule rings for blocks and p-permutation equivalences
Linckelmann, M. (2009). Trivial source bimodule rings for blocks and p-permutation equivalences. Transactions of the American Mathematical Society, 361(03), pp. 1279-1316. doi: 10.1090/s0002-9947-08-04577-7
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 |
| SWORD Depositor: |
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