TY  - BOOK
AU  - Bousfield,Aldridge Knight
TI  - Homological localization towers for groups and [PI sign]-modules
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470400521 (online)
AV  - QA3QA171 .A57 no. 186
U1  - 510/.8 s512/.55 
PY  - 1977///
CY  - Providence
PB  - American Mathematical Society
KW  - Group theory
KW  - Homology theory
KW  - Modules (Algebra)
N1  - "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 $Z/n$; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0186
UR  - http://dx.doi.org/10.1090/memo/0186
ER  -