If G is an abelian group, then G = DN, with D divisible and N reduced (meaning
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If G is an abelian group, then G = D⊕N, with D divisible and N reduced (meaning that N has no nontrivial divisible subgroups).
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ANSWER This statement is known as the Fundamental Theorem of Finitely Generated Abelian Groups It says that every finite abelian group can be written ...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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