K_1 of a p-adic group ring II. The determinantal kernel SK_1
K-Theory and Homology
2014-04-08 v3 Number Theory
Abstract
We describe the group SK_1(R[G]) for group rings R[G] where G is an arbitrary finite group and where the coefficient ring R is a p-adically complete Noetherian integral domain of characteristic zero which admits a lift of Frobenius and which also satisfies a number of further mild conditions. Our results extend previous work of R. Oliver who obtained such results for the valuation rings of finite extensions of the p-adic field.
Cite
@article{arxiv.1303.5337,
title = {K_1 of a p-adic group ring II. The determinantal kernel SK_1},
author = {T. Chinburg and G. Pappas and M. J. Taylor},
journal= {arXiv preprint arXiv:1303.5337},
year = {2014}
}
Comments
64 pp, some corrections