K1 of a p -adic group ring II. The determinantal kernel SK1

• T. Chinburg ^[1] ; G. Pappas ^[2] ; M.J. Taylor ^[3]
  1. [1] University of Pennsylvania

     University of Pennsylvania

     City of Philadelphia, Estados Unidos

     
  2. [2] Michigan State University

     Michigan State University

     City of East Lansing, Estados Unidos

     
  3. [3] Oxford University, United Kingdom

  Mostrar afiliaciones +
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 7 (July 2015), 2015, págs. 2581-2623
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We describe the group SK1(R[G])SK1(R[G]) for group rings R[G]R[G] where G is an arbitrary finite group and where the coefficient ring R is a p-adically complete Noetherian integral domain of characteristic zero which admits a lift of Frobenius and which also satisfies a number of further mild conditions. Our results extend previous work of R. Oliver who obtained such results for the valuation rings of finite extensions of the p-adic field.