Every finitely generated abelian group G (e) in which every element (except e ) has order

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Every finitely generated abelian group G ≠ (e) in which every element (except e) has order p (p prime) is isomorphic to Z_p ⊕Z_p·· •⊕Z_P (n summands) for some n ≥ 1.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:08 AM

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Every finitely generated abelian group G (e) in which every element (except e ) has order

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This statement is a special case of the fundamental theorem of finitely generated abelian groups Let ...View the full answer

Algebra Graduate Texts In Mathematics 73

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