In the group G = (-1,1,-i,i), the order of -i is?
- -1
- 1
- 2
- 4
Explanation
The group G = {-1, 1, -i, i} is a multiplicative group, and the order of an element a in G is the smallest positive integer n such that a^n = 1.
For -i, we have:
(-i)^2 = -1
(-i)^3 = i
(-i)^4 = 1
So, the order of -i is 4.
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