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Classification of Finitely Generated Abelian Groups The proof given below uses vector space techniques (Smith Normal Form) and generalizes from abelian groups to “modules over PIDs” (essentially generalized vector spaces). Smith Normal Form is a reduced form similar to the row reduced matrices encountered in
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Document Date: 2000-11-03 01:05:21
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IndustryTerm
linear systems /
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SocialTag
Algebraic structures
Geometric group theory
Finitely-generated abelian group
Abelian group
Generating set of a group
Group
Finitely-generated module
Free abelian group
Abstract algebra
Algebra