Theorem - order of finite cyclic group is equal to order of its generator

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The order of a finite cyclic group is equal to the order of its generator. The order of a finite cyclic group is equal to the order of its generator.
No of elements of a finite cyclic group of order n is ø(n) No of elements of a finite cyclic group of order n is ø(n)
order of a cyclic group is equal to order of its generator order of a cyclic group is equal to order of its generator
Let G be cyclic group of order n then a_k is generator of G if gcd(k, n)=1 Let G be cyclic group of order n then a_k is generator of G if gcd(k, n)=1
Order of a cyclic group is equal to the order of its generator (Infinite case) - Chapter 3 Lecture11 Order of a cyclic group is equal to the order of its generator (Infinite case) - Chapter 3 Lecture11
Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra
Order of cyclic group is equal to order of its generator | cyclic group | group theory in hindi Order of cyclic group is equal to order of its generator | cyclic group | group theory in hindi
(Abstract Algebra 1) Definition of a Cyclic Group (Abstract Algebra 1) Definition of a Cyclic Group