• Corpus ID: 115165499

K_1 of some noncommutative group rings

  title={K\_1 of some noncommutative group rings},
  author={Mahesh Kakde},
  journal={arXiv: Number Theory},
  • M. Kakde
  • Published 19 March 2010
  • Mathematics
  • arXiv: Number Theory
In this article I generalise previous computations (by K. Kato, T. Hara and myself) of K_1 (only up to p-power torsion) of p-adic group rings of finite non-abelian p-groups in terms of p-adic group rings of abelian subquotients of the group. Such computation have applications in non-commutative Iwasawa theory due to a strategy proposed by D. Burns, K. Kato (and a modification by T. Hara) for deducing non-commutative main conjectures from commutative main conjectures and certain congruences… 
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