We present a constructive method to compute the cellularization with respect to Bmℤ/p for any integer m ≥ 1 of a large class of H-spaces, namely all those which have a finite number of non-trivial Bmℤ/p-homotopy groups (the pointed mapping space map*(Bmℤ/p,X) is a Postnikov piece). We prove in particular that the Bmℤ/p- cellularization of an H-space having a finite number of Bmℤ/p- homotopy groups is a p-torsion Postnikov piece. Along the way, we characterize the Bℤ/pr-cellular classifying spaces of nilpotent groups. © 2006 American Mathematical Society.
- Nilpotent groups.
- Postnikov pieces