Let G be a finite group and Z[G] its integral group ring. We prove that the nil groups NjK2(Z[G]) do not vanish for all j ≥ 1 and for a large class of finite groups. We obtain from this that the iterated nil groups NjKi(Z[G]) are also nonzero for all i ≥ 2, j ≥ i-1.
Homology, Homotopy and Applications, Vol. 9 (2007), No. 2, pp.95-100.