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Abstract
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We examine the cokernel of the canonical homomorphism
from the trivial source ring of a finite group to the ring of
-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
-biset
functors.
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Keywords
trivial source ring, finite groups, biset functors, fibered
biset functors, Schur index
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Mathematical Subject Classification
Primary: 19A22, 20C20
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Milestones
Received: 26 February 2021
Revised: 9 September 2021
Accepted: 29 September 2021
Published: 19 January 2022
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