Reading Question 6.2.1. Let G be a cyclic group of order 20. Which of the following claims is true? Select all that apply. (a) G has 5 elements of order 4. (b) G has 4 elements of order 5. (c) G has 1 element of order 2. (d) G contains 10 generators. (e) If a is a generator of G, then the order of ak is equal to the gcd(20, k).

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Reading Question 6.2.1. Let G be a cyclic group of order 20. Which of the following claims is true?
Select all that apply.
(a) G has 5 elements of order 4.
(b) G has 4 elements of order 5.
(c) G has 1 element of order 2.
(d) G contains 10 generators.
(e) If a is a generator of G, then the order of ak is equal to the gcd(20, k).
Transcribed Image Text:Reading Question 6.2.1. Let G be a cyclic group of order 20. Which of the following claims is true? Select all that apply. (a) G has 5 elements of order 4. (b) G has 4 elements of order 5. (c) G has 1 element of order 2. (d) G contains 10 generators. (e) If a is a generator of G, then the order of ak is equal to the gcd(20, k).
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