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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.
- Illustratör: Illustrations
- Format: Inbunden
- ISBN: 9789056992255
- Språk: Engelska
- Antal sidor: 366
- Utgivningsdatum: 2000-03-01
- Förlag: Taylor & Francis Ltd