# Induction and Computation of Bass Nil Groups for Finite Groups Academic Article

•
• Overview
•
• Research
•
•
• View All
•

### abstract

• Let G be a finite group. We show that the Bass Nil-groups $NK_n(RG)$, $n \in Z$, 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 $NK_n(RG)$ are generated by induction from elementary subgroups. For $NK_0(ZG)$ we get an improved estimate of the torsion exponent.

### publication date

• January 1, 2012