Nullification and cellularization of classifying spaces of finite groups
Author:
Ramón J. Flores
Journal:
Trans. Amer. Math. Soc. 359 (2007), 1791-1816
MSC (2000):
Primary 55P20, 55P60
DOI:
https://doi.org/10.1090/S0002-9947-06-03926-2
Published electronically:
October 17, 2006
MathSciNet review:
2272149
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: In this note we discuss the effect of the -nullification
and the
-cellularization
over classifying spaces of finite groups, and we relate them with the corresponding functors with respect to Moore spaces that have been intensively studied in the last years. We describe
by means of a covering fibration, and we classify all finite groups
for which
is
-cellular. We also carefully study the analogous functors in the category of groups, and their relationship with the fundamental groups of
and
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Additional Information
Ramón J. Flores
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Barcelona, E–08193 Bellaterra, Spain
Email:
ramonj@mat.uab.es
DOI:
https://doi.org/10.1090/S0002-9947-06-03926-2
Keywords:
(Co)localization,
finite groups,
Eilenberg-MacLane spaces.
Received by editor(s):
January 27, 2005
Published electronically:
October 17, 2006
Additional Notes:
This work was partially supported by MCYT grant BFM2001-2035.
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.