Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96487
 Title: On the rationalization of the circle Author: Casacuberta, Carles Keywords: Teoria de l'homotopiaTeoria de grupsHomotopy theoryGroup theory Issue Date: Jul-1993 Publisher: American Mathematical Society (AMS) Abstract: 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. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-1993-1176479-3 It is part of: Proceedings of the American Mathematical Society, 1993, vol. 118, num. 3, p. 995-1000 Related resource: http://dx.doi.org/10.1090/S0002-9939-1993-1176479-3 URI: http://hdl.handle.net/2445/96487 ISSN: 0002-9939 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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