Suppose that G is a group of order 16 and that, by direct
Chapter 4, Problem 67E(choose chapter or problem)
Suppose that G is a group of order 16 and that, by direct computation, you know that G has at least nine elements x such that \(x^8 = e\). Can you conclude that G is not cyclic? What if G has at least five elements x such that \(x^4 = e\)? Generalize.
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