Suppose that a is an element from a permutation group G
Chapter 7, Problem 53E(choose chapter or problem)
Suppose that \(\alpha\) is an element from a permutation group G and one of its cycles in disjoint cycle form is \((a_1a_2 \ldots a_k)\). Show that \(\{a_1, a_2, \ldots, a_k\} \subseteq \mathrm{orb}_G(a_i)\) for 1 = 1, 2, . . . , k.
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