# metadata.dc.description.abstract[].value
We give an example showing that, for a nilpotent group $G$ and a set of primes $P$, the $P$-localization homomorphism $l:G \to {G_P}$ need not induce an isomorphism in cohomology with arbitrary (twisted) ${{\mathbf{Z}}_P}$-module coefficients. From this fact we infer that, in the pointed homotopy category of connected CW-complexes, the inclusion of the subcategory of spaces whose higher homotopy groups are ${{\mathbf{Z}}_P}$-modules and whose fundamental group is uniquely ${P'}$-radicable does not admit a left adjoint.

# metadata.dc.relation.ispartof[].value
Proceedings of the American Mathematical Society, 1993, vol. 118, num. 3, p. 995-1000

# metadata.dc.rights[].value
(c) American Mathematical Society (AMS), 1993

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)