This question arises from my paper " Higher Algebraic K-theory of p-adic orders and twisted polynomial and laurent series rings over p-adic orders" Communications in Algebra, 39, 3801-3812 , 2011 where a partial answer is given for a more general question involving p-adic orders in p-adic semi-simple algebras. In that paper, I proved that the answer is afirmative if the p-adic semi-simple algebra splits as a product of matrix algebras over p-adic fields. For n = 1, the answer is in the afirmative and is classical (due to C. T .C Wall). When G is a finite p-group, the answer is also in the affirmative for all n >1 (See A. O. Kuku "Finiteness of Higher K-groups of orders and group-rings" K-theory 36, 51-58 2005.
Article Finiteness of Higher K -Groups of Orders and Group Rings
- Badges
- Science topic
- Similar topics
- Mathematical Sciences
- Algebra