if a in G (group ) such as o(a)=mn prove the existence of g and h...

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if a in G (group ) such as o(a)=mn

prove the existence of g and h in G such as a=gh=hg and o(g)=mo(h)=n

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AnswerGiven thatFirst let ag and bh be the elements whose orders are mm andnn respectively I guessed    See Answer
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