NULLIFICATION AND CELLULARIZATION OF CLASSIFYING SPACES OF FINITE GROUPS

by RAM'ON J. FLORES

   Departamento de Matem'aticas, Universidad Aut'onoma de Barcelona,
 E-08193 Bellaterra, Spain
 E-mail address: ramonj@mat.uab.es
 Mathematical subject classification: 55P20, 55P80.  

Abstract. In this note we discuss the effect of the BZ/p-nullification
 and the BZ/p-cellularization functors over classifying spaces of finite
 groups, and we compare them with the corresponding ones with regard to
 Moore spaces, that have been intensively studied in the last years. We
 describe the BZ/p- nullification of BG by means of a Postnikov
 fibration, and we classify all finite groups G for which BG is
 BZ/p-cellular. In particular, we relate the effect these
 (co)localizations have over the fundamental group with the analogous
 functors in the category of groups.


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