Let G, H, and K be finitely generated abelian groups. Show that if G x K is

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Let G, H, and K be finitely generated abelian groups. Show that if G x K is isomorphic to H x K, then G ≈ H.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 02, 2023 06:09 AM

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Let G, H, and K be finitely generated abelian groups. Show that if G x K is

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By Theorem 1112 the groups that appear in the decompositions of G K and of H K are unique except ...View the full answer

A First Course In Abstract Algebra

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