On odd dimensional surgery with finite fundamental group

Hausmann, Jean-Claude

doi:10.1090/S0002-9939-1977-0433473-6

On odd dimensional surgery with finite fundamental group
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by Jean-Claude Hausmann PDF

Proc. Amer. Math. Soc. 62 (1977), 199-205 Request permission

Abstract:

One proves that, for any finite group G and homomorphism $\omega :G \to {\mathbf {Z}}/2{\mathbf {Z}}$, the natural homomorphism $L_{2k + 1}^h({\mathbf {Z}}G,\omega ) \to L_{2k + 1}^h({\mathbf {Q}}G,\omega )$ between Wall surgery groups is identically zero. Some results concerning the exponent of $L_{2k + 1}^h({\mathbf {Z}}G;\omega )$ are deduced.

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