%0 Journal Article
%T A splitting for K_1 of completed group rings
%A Peter Schneider
%A Otmar Venjakob
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1006.1493v1