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Assume G is an Abelian group of order 144 and G contains at least 5 elements...

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Advance Math

Assume G is an Abelian group of order 144 and G contains atleast 5 elements of order 72. (a) Determine the possible structuresof G (i.e., write it as a direct product of cyclic groups). Ifthere are more than one structures, list them all. (b) For eachisomorphic class of G, how many elements of order 12 does ithave?

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