1.3.12 Permutation group

Problem: Find all elements of the group \( S_{n} \), permutable with the cycle \( \left(\alpha_{1} \alpha_{2} \ldots \alpha_{n}\right) \), where \( \left(\alpha_{1}, \alpha_{2}, \ldots, \alpha_{n}\right) \) - the permutation of numbers \( 1,2, \ldots, n \).