Let 𝐶11 be the cyclic group of order 11, and consider its group of automorphisms Aut(𝐶11). What is the order of the element 𝜙5∈Aut(𝐶11)?
Question
Solution 1
The order of an element in a group is the smallest positive integer n such that the element to the power of n equals the identity element. In the case of the automorphism group Aut(C11), the identity element is the identity function, which maps each element to itself.
The cyclic group C11 has 11 el Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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