Almost Completely Decomposable Groups

Released on by A Mader
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  • Almost Completely Decomposable Groups Book Detail

  • Author : A Mader
  • Release Date : 2000-03-09
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 370
  • ISBN 13 : 9789056992255
  • File Size : 2,2 MB
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Almost Completely Decomposable Groups by A Mader PDF Summary

Book Description: 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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