Let H be a normal subgroup of a finite group G and let xG.
Chapter 9, Problem 61E(choose chapter or problem)
Let H be a normal subgroup of a finite group G and let \(x \in G\). If \(\operatorname{gcd}(|x|,|G / H|)=1\), show that \(x \in H\). (This exercise is referred to in Chapter 25.)
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