Determine whether the fuction is a homomorphism In each case below.pdf

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Determine whether the fuction is a homomorphism: In each case below, determine whether the function phi : G - > G\' is a homomorphism. If 0 is a homomorphism, find all elements in the kernel Ker phi of phi Let G = (a) be a cyclic group of order 12 and let G\' = (b) be a cyclic group of order 18. Define phi(aj) = b15j, 0 Solution I have written the answer on a paper and uploaded it as 3 pictures at the following links: PArt-1: http://i.imgur.com/7RRuPQv.jpg Part-2: http://i.imgur.com/pokxQ7z.jpg PArt-3: http://i.imgur.com/QgjFbry.jpg.

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