Question:
For a positive integer n, let U(n) = {\(\bar{r}\) ∈ ℤn ∶ gcd(r, n) = 1} be the group under multiplication modulo n. Then, which one of the following statements is TRUE ?
For a positive integer n, let U(n) = {\(\bar{r}\) ∈ ℤn ∶ gcd(r, n) = 1} be the group under multiplication modulo n. Then, which one of the following statements is TRUE ?
Updated On: Jan 16, 2025
- U(5) is isomorphic to U(8)
- U(10) is isomorphic to U(12)
- U(8) is isomorphic to U(10)
- U(8) is isomorphic to U(12)
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The Correct Option is D
Solution and Explanation
The correct option is (D) : U(8) is isomorphic to U(12).
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