A splitting for K_1 of completed group rings

       Autors: Peter Schneider and Otmar Venjakob
       Titel:  A splitting for K_1 of completed group rings
       Jahr: 2010
       Seiten: 24
       In: preprint
     

      
      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. MSC-class: 19B28, 11S23

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