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arXiv · 1101.1598

Thoughts on the reduced Whitehead group of the Iwasawa algebra

Irene Lau
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Abstract

Let l be an odd prime and K/k a Galois extension of totally real number fields with Galois group G such that K/k_\infty and k/Q are finite. We reduce the conjectured triviality of the reduced Whitehead group SK_1(QG) of the algebra QG=Quot(ΛG) with the Iwasawa algebra ΛG = Z_l[[G]] to the case of pro-l Galois groups G and finite unramified coefficient extensions.

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Irene Lau. 2011-09-24. Thoughts on the reduced Whitehead group of the Iwasawa algebra. https://arxiv.org/abs/1101.1598

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