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[tex]a^k =1[/tex]

and

[tex]a \in \mathbb{C}[/tex]

[tex]k \in Z^+[/tex]

and for some k

[tex]A = \{a|a^k = 1\}[/tex]

does

[tex]|A| = k[/tex]

?

edited: becasue the real numbers are a subset of the complex numbers

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# Roots of unity

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