Surgery obstruction groups

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1 Introduction

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

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

2 References

• [wall-VI] Template:Wall-VI
• [wall-book] Template:Wall-book

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