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arXiv · 2012.13365

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

John Revere McHugh
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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 Co\c{s}kun'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.

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BibTeXRIS

John Revere McHugh. 2020-12-24. On the image of the trivial source ring in the ring of virtual characters of a finite group. https://doi.org/10.2140/pjm.2021.315.449

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