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One proves that, for any finite group G and homomorphism <o: G -» Z/2Z, the natural homomorphism L2k+X(ZG,u) -* lJ2k+x(QG,w) between Wall surgery groups is identically zero. Some results concerning the exponent of L2k+x(ZG;u) are deduced.doi:10.2307/2041014 fatcat:k5gmsfjjxzbgvdp6tapdomcr5e