Item description for Almost Completely Decomposable Groups (Algebra, Logic and Applications) by A Mader...
From a minimal background in abelian group theory to the frontier of research, this monograph brings together results scattered in the literature and poses new problems for future research. 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 "right" concept 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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Studio: CRC Press
Est. Packaging Dimensions: Length: 9.46" Width: 6.2" Height: 1.19" Weight: 1.69 lbs.
Release Date Mar 9, 2000
ISBN 9056992252 ISBN13 9789056992255