A splitting for K_1 of completed group rings

Details A splitting for K_1 of completed group rings A splitting for K_1 of completed group rings

2010-06-08

arxiv.org/abs/1006.1493v1

Mathematics

K-Theory and Homology

24 pages

Scientific paper

Motivated by the theory of Coleman power series (reinterpreted via fields of
norms by Fontaine) we construct a splitting of the natural map of K_1 groups
arising from the mod p reduction map of the Iwasawa algebra of a pro-p Lie
group. We also show the vanishing of SK_1 for certain unipotent groups.

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