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About Almost Completely Decomposable Groups (Algebra, Logic and Applications)
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.
Detailed Information
| Author: | A. Mader |
|---|---|
| Publication Year: | 2000 |
| ISBN: | 9789056992255 |
| Language: | English |
| File Size: | 3.1 |
| Format: | |
| Price: | FREE |
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