Abelian groups : structures and classifications /
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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Main Authors: | |
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Group Author: | |
Published: |
De Gruyter,
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Publisher Address: | Berlin : |
Publication Dates: | [2019] |
Literature type: | Book |
Language: | English |
Series: |
De Gruyter studies in mathematics ;
volume 73 |
Subjects: | |
Summary: |
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. -- |
Carrier Form: | xiii, 326 pages ; 25 cm. |
Bibliography: | Includes bibliographical references (pages [315]-320) and index. |
ISBN: |
9783110432114 (hardcover) : 3110432110 (hardcover) 9783110427684 (PDF) 3110427680 (PDF) 9783110427868 (EPUB) 3110427869 (EPUB) |
Index Number: | QA180 |
CLC: | O152.2 |
Call Number: | O152.2/J179 |
Contents: | Acknowledgments -- 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. |