# Finite and infinite group

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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SammyS
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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.
Hello tim656. Welcome to PF !

Think about some subset of the complex numbers.

What are the multiples of the imaginary unit, i ?