In a finite group, show that the number of nonidentity
Chapter 2, Problem 50E(choose chapter or problem)
In a finite group, show that the number of nonidentity elements that satisfy the equation \(x^{5}=e\) is a multiple of 5. If the stipulation that the group be finite is omitted, what can you say about the number of nonidentity elements that satisfy the equation \(x^{5}=e\)?
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