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arXiv · 1303.5337

K_1 of a p-adic group ring II. The determinantal kernel SK_1

T. Chinburg·G. Pappas·M. J. Taylor
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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.

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T. Chinburg, G. Pappas, M. J. Taylor. 2013-03-21. K_1 of a p-adic group ring II. The determinantal kernel SK_1. https://arxiv.org/abs/1303.5337

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