Abelian Groups

Carol Jacoby; Peter Loth

Carol Jacoby and Peter Loth

Abelian Groups

Structures and Classifications

In: De Gruyter Studies in Mathematics, 73

De Gruyter | 2019

https://doi.org/10.1515/9783110427684

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Contents

About this book

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.

Author information

Peter Loth, Sacred Heart University, Connecticut, USA; Carol Jacoby, Jacoby Consulting, California, USA.

Frontmatter Accessible PDF	III
Preface Accessible PDF	VII
Acknowledgments Accessible PDF	IX
Contents Accessible PDF	XI
1. Basic characteristics of abelian groups Requires Authentication Accessible PDF	1
2. Simply presented groups Requires Authentication Accessible PDF	61
3. Warfield groups Requires Authentication Accessible PDF	103
4. Infinitary logic looks at groups Requires Authentication Accessible PDF	183
5. Groups with partial decomposition bases Requires Authentication Accessible PDF	203
6. Characters and Pontrjagin duality of locally compact abelian groups Requires Authentication Accessible PDF	263
7. Classifications of compact abelian groups Requires Authentication Accessible PDF	285
Symbols Requires Authentication Accessible PDF	311
Bibliography Requires Authentication Accessible PDF	315
Index Requires Authentication Accessible PDF	321

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Abelian Groups

Structures and Classifications

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