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Almost Completely Decomposable Groups Adolf Mader

  • SKU: BELL-51186688
Almost Completely Decomposable Groups Adolf Mader
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Almost Completely Decomposable Groups Adolf Mader instant download after payment.

Publisher: CRC Press
File Extension: DJVU
File size: 3.04 MB
Pages: 366
Author: Adolf Mader
ISBN: 9789056992255, 9056992252
Language: English
Year: 2018
Volume: 13

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Almost Completely Decomposable Groups Adolf Mader by Adolf Mader 9789056992255, 9056992252 instant download after payment.

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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