Geodesic
The Behaviour of Homology in the Localization of Finite Groups
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 311-320

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We show that, for a finite group G and a prime p, the following facts are equivalent: (i) the p-localization homomorphism l: G —> Gp induces p-localization on integral homology; (ii) the higher homotopy groups of the Bousfield-Kan Zp -completion of a K(G, 1) vanish; (iii) the group G is p-nilpotent.
DOI : 10.4153/CMB-1991-051-5
Mots-clés : 20J05, 55P60 
Casacuberta, Carles. The Behaviour of Homology in the Localization of Finite Groups. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 311-320. doi: 10.4153/CMB-1991-051-5
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     title = {The {Behaviour} of {Homology} in the {Localization} of {Finite} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {311--320},
     year = {1991},
     volume = {34},
     number = {3},
     doi = {10.4153/CMB-1991-051-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-051-5/}
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