Prove that if G is a group with operation *, and S is a nonempty subset of G, then (S)
Chapter 15, Problem 15.30(choose chapter or problem)
Prove that if G is a group with operation *, and S is a nonempty subset of G, then (S) is theset of all a I * a2 * ... * ako where k is a positive integer and each of a I, a2, ... , ak is eitheran element of S or the inverse of an element of S. [Suggestion: Show that the set describedsatisfies the conditions (a), (b), and (c) in Theorem 15.2, which characterize (S).]
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