if a is a generator of a cyclic group ,then a^(-1) is also a generator of G

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If a is the generator of a cyclic group, the a^-1 is also its generator

If a is a generator of a cyclic group G, then it’s inverse is also a generator.

If a is a generator of G. Then a inverse is also a generator of G

Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra

Let G be cyclic group of order n then a_k is generator of G if gcd(k, n)=1

If g be a infinite cyclic group then g has exactly two generators

Prove that if a cyclic group has only one generator then it cannot have more than two elements

Let G be cyclic group and a is it's generator. The element a^k is also a generator iff ( k,d)=1