Classifications of Abelian Groups and Pontrjagin Duality

Loth, Peter

Published by CRC Press, 1998
ISBN 10: 9056991698 / ISBN 13: 9789056991692
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Synopsis: In the first part of this book, the reader is introduced to the theory of abelian groups focusing on the classification problem. The structure of totally projective p-groups is determined and Hill's version of Ulm's Theorem is proved. It is shown how this classification theorem is generalized to larger classes of abelian groups such as the balanced projective groups and Warfield groups. A variety of characterizations of these groups is proved generalizing corresponding results for totally projective p-groups.
In the second part of this text, the author studies certain classes of compact abelian groups using Pontrjagin duality. After providing the necessary tools for dualization, the structure of the compact groups dual to the totally projective p-groups, balanced projective groups, and Warfield groups is established. Finally, the duals of completely decomposable groups and Butler groups are studied.
Supplemented with numerous exercises and research problems, this book is suitable for graduate students, as well as undergraduate students with a sufficient background in algebra and topology.

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Title: Classifications of Abelian Groups and ...
Publisher: CRC Press
Publication Date: 1998
Binding: HRD
Book Condition: New

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Loth, Peter
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Book Description Gordon and Breach, New York, NY, 1998. Cloth. Condition: Very Good. 173 pp. Tightly bound. Corners not bumped. Text is free of markings. Owner's name front end paper. Size: 8vo - over 7¾" - 9¾" tall. Seller Inventory # 018010

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Book Description Gordon and Breach Science Publishers, Amsterdam, 1998. g.e. Gr.-8° Opbd. en Naturwissenschaften - Mathematik (Algebra, Logic and Applications Series. Vol. 10); VI pp., 173 pp. Seller Inventory # 1408

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Book Description CRC Press, 1998. Condition: Good. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Seller Inventory # 9056991698-2-4

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Book Description CRC Press, 1998. Hardcover. Condition: Used: Good. Seller Inventory # SONG9056991698

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Book Description Taylor Francis Ltd, United Kingdom, 1998. Hardback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. In the first part of this book, the reader is introduced to the theory of abelian groups focusing on the classification problem. The structure of totally projective p-groups is determined and Hill s version of Ulm s Theorem is proved. It is shown how this classification theorem is generalized to larger classes of abelian groups such as the balanced projective groups and Warfield groups. A variety of characterizations of these groups is proved generalizing corresponding results for totally projective p-groups. In the second part of this text, the author studies certain classes of compact abelian groups using Pontrjagin duality. After providing the necessary tools for dualization, the structure of the compact groups dual to the totally projective p-groups, balanced projective groups, and Warfield groups is established. Finally, the duals of completely decomposable groups and Butler groups are studied. Supplemented with numerous exercises and research problems, this book is suitable for graduate students, as well as undergraduate students with a sufficient background in algebra and topology. Seller Inventory # BTE9789056991692

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