Thoughts on the reduced Whitehead group of the Iwasawa algebra

Details Thoughts on the reduced Whitehead group of the Iwasawa algebra Thoughts on the reduced Whitehead group of the Iwasawa algebra

2011-01-08

arxiv.org/abs/1101.1598v2

Mathematics

Number Theory

Scientific paper

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(\Lambda G) with the Iwasawa algebra \Lambda G = Z_l[[G]] to the
case of pro-l Galois groups G and finite unramified coefficient extensions.

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