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Abelian groups / Laszlo Fuchs.

By: Series: Springer monographs in mathematicsPublication details: Cham : Springer, 2015.Description: xxi, 747 p. : illustrations ; 25 cmISBN:
  • 9783319194219
Subject(s): DDC classification:
  • 512.25 23 F951
Contents:
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.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.25 F951 (Browse shelf(Opens below)) Available 137065
Total holds: 0

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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