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Let [math]G[/math] be a cyclic group, and let [math]a[/math] be a generator of [math]G[/math]. How can I prove that [math]a^{-1}[/math] is also a generator of [math]G[/math]? - Quora
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number of generators in an infinite cyclic group theory BHU 2018 2014 Mathematics Abstract Algebra - YouTube
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