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  3. (i) there are two non-isomorphic groups of order 4

(i) There are two non-isomorphic groups of order 4: C4 and C2xC2. Let C3 be a...

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(i) There are two non-isomorphic groups of order 4: C4 andC2xC2. Let C3 be a cyclic group of order 3. For each group G oforder 4, determine all possible homomorphisms f an element ofHom(C3, Aut(G)).

(ii) For C3 and each G of order 4 as above, determine allpossible homomorphisms phi an element of Hom(G, Aut(C3)).

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The solution is based on the simple result that if C is acyclic    See Answer
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