Mathematics – K-Theory and Homology
Scientific paper
2007-06-27
Pure and Applied Mathematics Quarterly, Volume 8, Number 1, Special Issue: In honor of F. Thomas Farrell and Lowell E. Jones,
Mathematics
K-Theory and Homology
21 pages. Final version
Scientific paper
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.
Hambleton Ian
Lueck Wolfgang
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