"Volume 10."

Bibliography: p. 68.

Part I. Homological localization towers for groups 1. Preliminaries on homological localizations of groups 2. HR-closed subgroups and HR-local groups 3. The HR-tower of group and HR-localizations 4. HR-localizations given by $R$-completions 5. Proof of 4.4 and 4.12 Part II. Homological localization towers for $\Pi $-modules 6. Preliminaries on homological localizations of $\pi $-modules 7. HZ-closed sub-$\pi $-modules and HZ-local $\pi $-modules 8. The HZ-tower of a $\pi $-module and HZ-localizations 9. The determination of tower modules 10. HZ-localizations given by $I$-adic completions Appendix A. The lower $R$-central series and $R$-completion of a group 11. The lower $R$-central series of a group 12. The $R$-completion of a group 13. An idempotency theorem for $R$-completions 14. An exactness theorem for $R$-completions Appendix B. A comment on homological localizations of spaces 15. Homological localizations with coefficients in $Z/n$

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