Induction and computation of Bass Nil Groups for finite groups

Ian Hambleton; Wolfgang Lueck

paper

Induction and computation of Bass Nil Groups for finite groups

arXiv:0706.4019

Abstract

Let G be a finite group. We show that the Bass Nil-groups $N K_{n} (R G)$ , $n \in Z$ , are generated from the p-subgroups of G by induction maps, certain twisting maps depending on elements in the centralizers of the p-subgroups, and the Verschiebung homomorphisms. As a consequence, the groups $N K_{n} (R G)$ are generated by induction from elementary subgroups. For $N K_{0} (Z G)$ we get an improved estimate of the torsion exponent.

21 pages. Final version