A student is asked to show that if H is a normal subgroup of an abelian group

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A student is asked to show that if H is a normal subgroup of an abelian group G, then G / H is abelian. The student's proof starts as follows:

We must show that G / H is abelian. Let a and b be two elements of G / H.

a. Why does the instructor reading this proof expect to find nonsense from here on in the student's paper?

b. What should the student have written?

c. Complete the proof.

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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 04:46 AM

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A student is asked to show that if H is a normal subgroup of an abelian group

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a The instructor reading this proof would expect to find nonsense from here on in the students paper ...View the full answer

A First Course In Abstract Algebra

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