Vol. 315, No. 2, 2021

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 317: 1
Vol. 316: 1  2
Vol. 315: 1  2
Vol. 314: 1  2
Vol. 313: 1  2
Vol. 312: 1  2
Vol. 311: 1  2
Vol. 310: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
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

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.

trivial source ring, finite groups, biset functors, fibered biset functors, Schur index
Mathematical Subject Classification
Primary: 19A22, 20C20
Received: 26 February 2021
Revised: 9 September 2021
Accepted: 29 September 2021
Published: 19 January 2022
John Revere McHugh
University of California, Santa Cruz
Santa Cruz, CA
United States