$N{K}_0$ and $N{K}_1$ of the groups $C_4$ and $D_4$. Addendum to “Lower algebraic $K$-theory of hyperbolic 3-simplex reflection groups” by J.-F. Lafont and I. J. Ortiz

Abstract

In this addendum to [LO] we explicitly compute the Bass Nil-groups $N{K}_i(Z[C_4])$ for $i=0,1$ and $N{K}_0(Z[D_4])$. We also show that $N{K}_1(Z[D_4])$ is not trivial. Here $C_4$ denotes the cyclic group of order 4 and $D_4$ is the dihedral group of order 8.

Link to the article in the title.