Almost Completely Decomposable Groups
Author:   A Mader
Publisher:   Taylor & Francis Ltd
Volume:   v.13.
ISBN:  

9789056992255


Pages:   366
Publication Date:   09 March 2000
Format:   Hardback
Availability:   In Print   Availability explained
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Almost Completely Decomposable Groups


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Overview

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.

Full Product Details

Author:   A Mader
Publisher:   Taylor & Francis Ltd
Imprint:   Taylor & Francis Ltd
Volume:   v.13.
Dimensions:   Width: 15.20cm , Height: 3.00cm , Length: 22.90cm
Weight:   0.780kg
ISBN:  

9789056992255


ISBN 10:   9056992252
Pages:   366
Publication Date:   09 March 2000
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Notation and Background 2. Basics and Completely Decomposable Groups 3. Cyclic Essential Extensions 4. Regulating Subgroups and Regulators 5. Local-Global Relationships 6. Groups with Cyclic Regulating 7. Completely Decomposable Summands 8. Anti-Representations 8. Near-Isomorphism and Type-Isomorphism 9. Fundamental Decomposition Theorems 10. Finite Essential Extensions 11. Representing Matrices 12. Classification 13. Direct Decompositions of Block-Rigid crq-Groups 14. In Search for Good Categories 15. Associated Structures 16. Literature

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