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Bousfield, Aldridge Knight, 1941-

Homological localization towers for groups and [PI sign]-modules / [electronic resource] A. K. Bousfield. - Providence : American Mathematical Society, 1977. - 1 online resource (vii, 68 p.) - Memoirs of the American Mathematical Society, v. 186 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 186. .

"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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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470400521 (online)

Subjects--Topical Terms:
Group theory.
Homology theory.
Modules (Algebra)

LC Class. No.: QA3 QA171 / .A57 no. 186

Dewey Class. No.: 510/.8 s 512/.55