Operations on locally free classgroups
Number Theory
2008-02-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/9705230,
title = {Operations on locally free classgroups},
author = {Bernhard Koeck},
journal= {arXiv preprint arXiv:math/9705230},
year = {2008}
}