How many elements of order 4 in the group Z20 ⊕ Z30?
Added by Magdalena H.
Step 1
In Z20, the elements of order 4 are those that satisfy 4x ≡ 1 (mod 20). The solutions are x = 5 and x = 15. So, there are 2 elements of order 4 in Z20. In Z30, the elements of order 4 are those that satisfy 4x ≡ 1 (mod 30). The solutions are x = 7 and x = 23. Show more…
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