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The group of self homotopy equivalences of some localized aspherical complexes

✍ Scribed by A. Garvín; A. Murillo; J. Remedios; A. Viruel

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
119 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

By studying the group of self homotopy equivalences of the localization (at a prime p and/or zero) of some aspherical complexes, we show that, contrary to the case when the considered space is a nilpotent, ℰ^m^ ~#~(X~p~ ) is in general different from ℰ^m^ ~#~(X)p. That is the case even when X = K (G, 1) is a finite complex and/or G satisfies extra finiteness or nilpotency conditions, for instance, when G is finite or virtually nilpotent. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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