Almost Completely Decomposable Groups
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A01=A Mader
Abelian Group
advanced abelian group structure analysis
Author_A Mader
Butler Group
Category=PBG
Category=PBW
classification of acd groups
cyclic essential extension
Decomposable Subgroups
Direct Decompositions
Direct Summand
Direct Sums
Divisible Hull
Endomorphism Rings
Epimorphic Image
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Index
Finite Poset
Finite Rank
Finite Representation Type
Greatest Common Divisors
group extension theory
Indecomposable Decompositions
Indecomposable Groups
Indecomposable Summands
Isomorphism Classes
Natural Epimorphism
near-isomorphism concept
Pure Subgroup
rational number subgroups
regulator subgroups
Short Exact Sequence
Smith Normal Form
Torsion Free Abelian Groups
Torsion Free Group
Type Autom Orphism
Product details
- ISBN 9789056992255
- Weight: 780g
- Dimensions: 152 x 229mm
- Publication Date: 09 Mar 2000
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
Mader, A
