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Localization methods in the study of the homology of virtually nilpotent groups

Published online by Cambridge University Press:  24 October 2008

Carles Casacuberta  and
Manuel Castellet
Carles Casacuberta
Affiliation:
Departament d'àlgebra i Geometria, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, E-08007 Barcelona, Spain
Manuel Castellet
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona, Spain
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Extract

In a series of papers [13, 14, 15], Hilton introduced the terminology relative group to denote a group epimorphism ∈:G↠Q, and relative space to denote a map ƒ:E→B between connected spaces inducing an epimorphism of fundamental groups. He pointed out the desirability of relativizing the theory of P-localization of nilpotent groups and spaces developed in [17], and carried out the algebraic part of this project in [14, 16]. The homotopy-theoretic part was settled by Llerena in [18, 19].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 551 - 564
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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