Ranks of Kn and Gn of orders and grouprings of finite groups over integers in number fields., by Aderemi O. Kuku

Let R be the ring of integers in a number field F, A any R-order in a semi-simple F-algebra B, M any maximal R-order containing A. We show in this paper that for all n greater than or equal to 2, rank Kn(A) = rank Gn(A) = rank Kn(M) = rank Kn(B). Hence, if G is a finite group, then rank Kn(RG) = rank Gn(RG) = rank Kn(FG).


Aderemi O. Kuku <kuku@ictp.trieste.it>