Question

The set of all generators of Z15 is​

Answer 1

Answer:

The generators of Z15 correspond to the integers 1,2,4,7,8,11,13,14 that are relatively prime to 15, and so the elements of order 15 in Z45 correspond to these multiples of 3. ... Show that any cyclic group of even order has exactly one element of order 2.

Answer 2

Answer:

The correct answer of this question is  the generators of Z15 correspond to the integers 1,2,4,7,8,11,13,14 that are relatively prime to 15 .

Explanation:

Given - The set of all generators of Z15.

To Find  - Write the set of all generators of Z15 .

The generators of Z15 correspond to the relatively prime integers 1,2,4,7,8,11,13,14, and the elements of order 15 in Z45 correspond to these multiples of 3. Show that every even-order cyclic group contains exactly one element of order 2.