## Question

###### Let K < H < G. Suppose (C : HJ = m ad [H : K] =n Prove that[C : K] = [G : HIIH : K] = mn.Do not assume G is finite.

Let K < H < G. Suppose (C : HJ = m ad [H : K] =n Prove that [C : K] = [G : HIIH : K] = mn. Do not assume G is finite.

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