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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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Cyclic Groups A Cyclic Group is a group which can be generated by one of its elements. That is, for some a in G, G={a n | n is an element of
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If a is a generator of a cyclic group G, then a-1 is also a
