Let G be a finitely generated abelian group in which no element (except 0) has finite order.
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Let G be a finitely generated abelian group in which no element (except 0) has finite order. Then G is a free abelian group.
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ANSWER This statement is known as the Fundamental Theorem of Finitely Generated Abelian Groups which ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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