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Homological Localization Towers for Groups and $\Pi$-Modules
 
A. K. Bousfield
Homological Localization Towers for Groups and Pi-Modules
eBook ISBN:  978-1-4704-0052-1
Product Code:  MEMO/10/186.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $18.40
Add to cart
Homological Localization Towers for Groups and Pi-Modules
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Homological Localization Towers for Groups and $\Pi$-Modules
A. K. Bousfield
eBook ISBN:  978-1-4704-0052-1
Product Code:  MEMO/10/186.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $18.40
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 10; 1977; 68 pp
    MSC: Primary 18; Secondary 20
  • Table of Contents
     
     
    • Chapters
    • 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 $Z/n$
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 10; 1977; 68 pp
MSC: Primary 18; Secondary 20
  • Chapters
  • 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 $Z/n$
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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