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The Behaviour of Homology in the Localization of Finite Groups

Published online by Cambridge University Press:  20 November 2018

Carles Casacuberta
Carles Casacuberta*
Affiliation:
Universitat Autònoma de Barcelona, Departament de Matemàtiques, E - 08193 Bellaterra, Barcelona, Spain
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Abstract

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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.

Keywords

20J0555P60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 3 , 01 September 1991 , pp. 311 - 320
Copyright
Copyright © Canadian Mathematical Society 1991

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