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arXiv · 0706.4019

Induction and computation of Bass Nil Groups for finite groups

Ian Hambleton·Wolfgang Lueck
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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.

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BibTeXRIS

Ian Hambleton, Wolfgang Lueck. 2010-08-20. Induction and computation of Bass Nil Groups for finite groups. https://arxiv.org/abs/0706.4019

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