Almost Completely Decomposable Groups(English, Hardcover, Mader A)

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Almost Completely Decomposable Groups(English, Hardcover, Mader A) is written by Mader A and published by Taylor & Francis Ltd. It's available with International Standard Book Number or ISBN identification 9056992252 (ISBN 10) and 9789056992255 (ISBN 13).

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.