A splitting for K_1 of completed group rings

Published 8 Jun 2010 in math.KT | (1006.1493v1)

Abstract: 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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