Finiteness of higher \(K\)-groups of orders and group rings
Let \(R\) be the ring of integers in a number field \(F\) and let \(A\) be an \(R\)-order in a semisimple \(F\)-algebra. It is shown that the groups \(K_{2n}(A)\) and \(G_{2n}(A)\) are finite for all positive integers \(n\). Also, if \(G\) is a finite \(p\)-group, then \(SK_{2n+1}(RG)\) is also a finite \(p\)-group, where \(R\) may now also be a \(p\)-adic ring.
scientific article; zbMATH DE number 5125358