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Paper detail

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

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.

preprint2014arXivOpen access
T. ChinburgG. PappasM. J. Taylor
math.KTmath.NT
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T. ChinburgG. PappasM. J. Taylor

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