On the image of the trivial source ring in the ring of virtual characters of a finite group

Abstract

We examine the cokernel of the canonical homomorphism from the trivial source ring of a finite group to the ring of $p$-rational complex characters. We use Boltje and Coşkun's theory of fibered biset functors to determine the structure of the cokernel. An essential tool in the determination of this structure is Bouc's theory of rational $p$-biset functors.

References in corpus (1)

• $p$-permutation equivalences between blocks of group algebras