Almost Completely Decomposable Groups

Name: Almost Completely Decomposable Groups
Brand: CRC PR INC
Price: 333.75 AUD
Availability: BackOrder

By: A Mader

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Hardcover | 9 March 2000 | Edition Number 1

At a Glance

Hardcover
366 Pages

Dimensions(cm)
22.9 x 15.2 x 2.54

Hardcover

RRP $389.00

$333.75

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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.

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