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 - Generating set of a group - Document - PDFSEARCH.IO

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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 Add to Reading List Document Date: 2000-11-03 01:05:21 Open Document File Size: 84,32 KB Share Result on Facebook IndustryTerm linear systems / / 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