Surgery obstruction groups

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== Introduction ==
== Introduction ==
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The surgery obstruction groups $$L_n(R\pi, w)$$ of C.T.C. Wall \cite{wall-book}, \cite{wall-VI} depend on a coefficient ring $R$, a discrete group $\pi$ and an orientation character $w\colon \pi \to \{\pm 1\}$. In general the surgery obstruction groups are abelian groups. For finite groups $\pi$ the $L$-groups are finitely-generated and the only torsion is $2$-primary.
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The surgery obstruction groups $L_n(R\pi, w)$ of C.T.C. Wall \cite{wall-book}, \cite{wall-VI} depend on a coefficient ring $R$, a discrete group $\pi$ and an orientation character $w\colon \pi \to \{\pm 1\}$. In general the surgery obstruction groups are abelian groups. For finite groups $\pi$ the $L$-groups are finitely-generated and the only torsion is $2$-primary.
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[[Media:Filename.pdf|A Guide to the Calculation of Surgery Obstruction Groups, Hambleton & Taylor (2000), pp. 1-3]]
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[[Media:Filename.pdf|A Guide to the Calculation of Surgery Obstruction Groups, pp. 1-3]]
== References ==
== References ==
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{{#RefList:}}

Revision as of 10:50, 8 June 2010

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1 Introduction

The surgery obstruction groups L_n(R\pi, w) of C.T.C. Wall [wall-book], [wall-VI] depend on a coefficient ring R, a discrete group \pi and an orientation character w\colon \pi \to \{\pm 1\}. In general the surgery obstruction groups are abelian groups. For finite groups \pi the L-groups are finitely-generated and the only torsion is 2-primary.


A Guide to the Calculation of Surgery Obstruction Groups, Hambleton & Taylor (2000), pp. 1-3



2 References

This page has not been refereed. The information given here might be incomplete or provisional.

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