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Prove that if G and H are groups, then G x H "" H x G. (Let the operations on G and H

Chapter 18, Problem 18.10

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QUESTION:

Prove that if G and H are groups, then G x H "" H x G. (Let the operations on G and H bedenoted by * and #, respectively.)

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QUESTION:

Prove that if G and H are groups, then G x H "" H x G. (Let the operations on G and H bedenoted by * and #, respectively.)

ANSWER:

Step 1 of 4

Let  and  be any two graphs then in order to show that  is isomorphic to  will have to show that on isomorphism exists between  and  

Define a map  define as  

f is well defined

Let

                                                                      

Thus is well defined.

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