Operations on locally free classgroups

Details Operations on locally free classgroups Operations on locally free classgroups

1997-05-16

arxiv.org/abs/math/9705230v1

Mathematics

Number Theory

Scientific paper

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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