Let G be a finite group with subgroup H. Define E = { g^{-1} H g...

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Question

Let G be a finite group with subgroup H. Define E = { g^{-1} H g...

Let G be a finite group with subgroup H.

Define E = { g^{-1} H g : g \in G }.

Prove that |E| divides |G/H|.

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