K_1 of a p-adic group ring I. The determinantal image
K-Theory and Homology
2009-04-17 v1 Rings and Algebras
Abstract
We study the K-group K_1 of the group ring of a finite group over a coefficient ring which is p-adically complete and admits a lift of Frobenius. In this paper, we consider the image of K_1 under the determinant map; the central tool is the group logarithm which we can define using the Frobenius lift. Using this we prove a fixed point theorem for the determinantal image of K_1.
Cite
@article{arxiv.0904.2563,
title = {K_1 of a p-adic group ring I. The determinantal image},
author = {T. Chinburg and G. Pappas and M. Taylor},
journal= {arXiv preprint arXiv:0904.2563},
year = {2009}
}
Comments
39 pp