Abelian Groups : : Structures and Classifications / / Peter Loth, Carol Jacoby.

This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:De Gruyter Studies in Mathematics , 73
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Physical Description:1 online resource (XIV, 328 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Acknowledgments
  • Contents
  • 1. Basic characteristics of abelian groups
  • 2. Simply presented groups
  • 3. Warfield groups
  • 4. Infinitary logic looks at groups
  • 5. Groups with partial decomposition bases
  • 6. Characters and Pontrjagin duality of locally compact abelian groups
  • 7. Classifications of compact abelian groups
  • Symbols
  • Bibliography
  • Index