91Ó°ÊÓ

Let \(G\) have order \(p q\), where \(p\) and \(q\) are primes. Either \(G\) is cyclic, or every element \(x \neq e\) in \(G\) has order \(p\) or \(q\)

If \(G\) has an element of order \(p\) and an element of order \(q\), where \(p\) and \(q\) are distinct primes, then the order of \(G\) is a multiple of \(p q\).