(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Does R/Z under addition has an infinite number of elements of order 4? Where R denotes the real numbers and Z denotes the integers.

3. The attempt at a solution

Yes. Consider the cosets p/4+Z for primes p greater than 2. Since there are an infinite number of primes, there are an infinite number of such cosets. But the answer says no for this question.

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# Algebra question

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