Classify the given group according to the fundamental theorem of finitely generated abelian groups. (Z x Z

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Classify the given group according to the fundamental theorem of finitely generated abelian groups.

(Z x Z x Z)/((3, 3, 3))

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Question Posted: Jan 02, 2023 06:08 AM

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Classify the given group according to the fundamental theorem of finitely generated abelian groups. (Z x Z

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Clearly 1 1 1 3 3 3 is of order 3 in the factor group while 0 1 0 3 3 3 and 0 0 1 3 3 3 both generat...View the full answer

A First Course In Abstract Algebra

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