I'm working on introductory group theory and am stuck on this proof. I don't even know where to start, so I'd appreciate any help at all!(adsbygoogle = window.adsbygoogle || []).push({});

"A subgroup H of a finite group G is said to be a normal subgroup if, for each element h ∈ H and each element g ∈ G, the element g^1hg ∈ H

Prove that if the order of G is twice the order of H, then H is a normal subgroup of G."

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# Homework Help: Normal Subgroups

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