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Operations on locally free classgroups

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.
0025-5831
667-702
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9

Koeck, Bernhard (1999) Operations on locally free classgroups. Mathematische Annalen, 314 (4), 667-702. (doi:10.1007/s002080050312).

Record type: Article

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

Identifiers

Local EPrints ID: 29780
URI: http://eprints.soton.ac.uk/id/eprint/29780
ISSN: 0025-5831
PURE UUID: f463ddae-2fa2-4b93-a25b-55f078d81ad7
ORCID for Bernhard Koeck: ORCID iD orcid.org/0000-0001-6943-7874

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Date deposited: 28 Jul 2006
Last modified: 01 Oct 2019 00:53

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