#### Vol. 315, No. 2, 2021

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

### John Revere McHugh

Vol. 315 (2021), No. 2, 449–476
DOI: 10.2140/pjm.2021.315.449
##### 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.

##### Keywords
trivial source ring, finite groups, biset functors, fibered biset functors, Schur index
##### Mathematical Subject Classification
Primary: 19A22, 20C20