Abelian groups / Laszlo Fuchs.
Series: Springer monographs in mathematicsPublication details: Cham : Springer, 2015.Description: xxi, 747 p. : illustrations ; 25 cmISBN:- 9783319194219
- 512.25 23 F951
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 512.25 F951 (Browse shelf(Opens below)) | Available | 137065 |
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512.24 Z37 Commutative algebra | 512.24 Z67 Algebric approach to association schemes | 512.25 B474 Representations of elementary Abelian p-groups and vector bundles / | 512.25 F951 Abelian groups / | 512.25 K17 Infinite Abelian groups | 512.25 K17 Infinite Abelian groups | 512.27 St819 Representation theory of finite monoids / |
Includes bibliographical references and index.
1. Fundamentals --
2. Direct Sums and direct products --
3. Direct Sums of Cyclic Groups --
4. Divisibility and Injectivity --
5. Purity and Basic Subgroups --
6. Algebraically Compact Groups --
7. Homomorphism Groups --
8. Tensor and Torsion Products --
9. Groups of Extensions and Cotorsion Groups --
10. Torsion Groups --
11. p-Groups with Elements of Infinite Height --
12. Torsion-free Groups --
13. Torsion-free Groups of Infinite Rank --
14. Butler Groups --
15. Mixed Groups --
16. Endomorphism Rings --
17. Automorphism groups --
18. Groups in Rings and in Fields.
This book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs.
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