A group 𝔊 is called cyclic if it contains an element a, called generator of 𝔊, such that each element of 𝔊 is a power of a. If 𝔊 is a cyclic group and a its generator, then 𝔊 is denoted by the symbol (a). From the first formula (1) in 19.3 it follows that every cyclic group is Abelian.
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