ar X iv : m at h / 97 05 23 0 v 1 [ m at h . N T ] 1 6 M ay 1 99 7 Operations on Locally Free Classgroups by Bernhard Köck

نویسنده

  • Bernhard Köck
چکیده

Let Γ be a finite group and K a number field. We show that the operation ψk defined by Cassou-Noguès and Taylor on the locally free classgroup Cl(OKΓ ) is a symmetric power operation if gcd(k, ord(Γ )) = 1. 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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تاریخ انتشار 1999