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K_1 of some noncommutative group rings
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 between special L-values. However, I do not say
anything about Iwasawa theory in this article. The details of applications in
Iwasawa theory will be presented in a separate paper.Comment: 16 pages
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