Abstract Algebra: Theory and Applications · Problem 46

Permutation Groups — Thomas Judson

Mathematics — Abstract Algebra · cyclic-groups-infinite-order

Problem

Let z=cos⁡θ+isin⁡θz = \cos\theta + i\sin\theta be in T\mathbb{T} where θ∈Q\theta \in \mathbb{Q}. Prove that the order of zz is infinite.

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