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    What Is an Infinite Group with Exactly Two Elements of Order 4?

    what is an infinite group that has exactly two elements with order 4? i let G be an infinite group for all R_5 ( multiplication modulo 5) within this interval [1,7) so i got |2|=|3|=4. i'm not sure this is the right answer but i couldn't think of anything else at a moment. help please.
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