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

Assume G is an Abelian group of order 144 and G contains at least 5 elements of order 72. (a) Determine the possible structures of G (i.e., write it as a direct product of cyclic groups). If there are more than one structures, list them all. (b) For each isomorphic class of G, how many elements of order 12 does it have?

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Colby Messinger answered 1 year ago

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