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(a) With ct and f3 as in 21.11, prove that Ker ct S; Ker f3 0 ct.(b) Give an example of

Chapter 21, Problem 21.12

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QUESTION:

(a) With ct and f3 as in 21.11, prove that Ker ct S; Ker f3 0 ct.(b) Give an example of ct : G -+ Hand f3 : H -+ K for which Ker ct =J Ker f3 0 a.

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QUESTION:

(a) With ct and f3 as in 21.11, prove that Ker ct S; Ker f3 0 ct.(b) Give an example of ct : G -+ Hand f3 : H -+ K for which Ker ct =J Ker f3 0 a.

ANSWER:

Step 1 of 8

(a)

The given that  and  be homomorphism then is a homomorphism.

 

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