Operations on locally free classgroups
Operations on locally free classgroups
Let G be a finite group and K a number field. We show that the "k-th Adams operation" defined by Cassou-Nogues and Taylor on the locally free class group Cl(Z_K G) is a symmetric power operation, if k is coprime to the order of G. Using the equivariant Adams-Riemann-Roch theorem, we furthermore give a geometric interpretation of a formula established by Burns and Chinburg for these operations.
667-702
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
1999
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
(1999)
Operations on locally free classgroups.
Mathematische Annalen, 314 (4), .
(doi:10.1007/s002080050312).
Abstract
Let G be a finite group and K a number field. We show that the "k-th Adams operation" defined by Cassou-Nogues and Taylor on the locally free class group Cl(Z_K G) is a symmetric power operation, if k is coprime to the order of G. Using the equivariant Adams-Riemann-Roch theorem, we furthermore give a geometric interpretation of a formula established by Burns and Chinburg for these operations.
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classgroups.dvi
- Accepted Manuscript
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Published date: 1999
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Local EPrints ID: 29780
URI: http://eprints.soton.ac.uk/id/eprint/29780
ISSN: 0025-5831
PURE UUID: f463ddae-2fa2-4b93-a25b-55f078d81ad7
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Date deposited: 28 Jul 2006
Last modified: 16 Mar 2024 03:22
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