Show that G₁ X G₂ is abelian if and only if both G₁ and G₂ are abelian.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 15E: 15. Prove that if for all in the group , then is abelian.
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Show that G₁ × G₂ is abelian if and only if both G₁ and G₂ are abelian.
Transcribed Image Text:Show that G₁ × G₂ is abelian if and only if both G₁ and G₂ are abelian.
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