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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 22E

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Question

Show that:
(i) If N is a normal subgroup of an abelian group G, then G/N is also abelian.
H is a group homomorphism and G is abelian, then im o is
(ii) If o: G
abelian.

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