9. If : G→ H is a group homomorphism and G is abelian, prove that (G) is also abelian.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.5: Isomorphisms
Problem 33E: Suppose that G and H are isomorphic groups. Prove that G is abelian if and only if H is abelian.
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9. If : G→ H is a group homomorphism and G is abelian, prove that (G) is also
abelian.
Transcribed Image Text:9. If : G→ H is a group homomorphism and G is abelian, prove that (G) is also abelian.
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