Almost completely decomposable groups /

Bibliographic Details
Main Author: Mader, A. (Adolf) (Author)
Corporate Authors: Taylor & Francis, Taylor and Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2000.
Edition:First edition.
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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245 1 0 |a Almost completely decomposable groups /  |c by A Mader. 
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505 0 |a chapter Introduction -- chapter Acknowledgements -- chapter 1 Notation and Background -- chapter 2 Basics and Completely Decomposable Groups -- chapter 3 Cyclic Essential Extensions -- chapter 4 Regulating Subgroups and Regulators -- chapter 5 Local-global Relationships -- chapter 6 Groups with Cyclic Regulating Quotient -- chapter 7 Completely Decomposable Summands -- chapter 8 Anti-Representations -- chapter 9 Near-Isomorphism and Type-Isomorphism -- chapter 10 Fundamental Decomposition Theorems -- chapter 11 Finite Essential Extensions -- chapter 12 Classification -- chapter 13 Direct Decompositions of Block-Rigid crq-Groups -- chapter 14 In Search for Good Categories -- chapter 15 Associated Structures -- chapter 16 Literature. 
520 3 |a An almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group. Examples are easy to write and are frequently used but have been notoriously difficult to study and classify because of their computational nature. However, a general theory of acd groups has been developed and a suitable weakening of isomorphism, Lady's near-isomorphism, has been established as the rightconcept for studying acd groups. A number of important classes of acd groups has been successfully classified. Direct sum decompositions of acd groups are preserved under near-isomorphism and the well-known pathological decompositions can actually be surveyed in special cases. 
650 0 |a Abelian groups. 
650 0 |a Decomposition (Mathematics) 
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