K_1是p-adic群环II的.行列式核SK_1
K_1 of a p-adic group ring II. The determinantal kernel SK_1
摘要:
本文描述了群环R[G]的群SK_1(R[G]),其中G是任意有限群,系数环R是特征为零的p-阶完备Noether整环,它允许Frobenius提升,并且满足一些进一步的温和条件.我们的结果推广了R. Oliver等人对p-adic域的有限扩张的赋值环得到了这样的结果。
英文摘要:
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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