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Proving generalization of the last sylows theorem

Question:

Sylow's theorem

Prove the following generalization of the last Sylow's theorem: If |G| is divisible by p^b, and H <= G has order p^a with a <= b, then the number of subgroups of G that both contain H and have order p^b is congruent to 1 modulo p?

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Algebra: Proving generalization of the last sylows theorem

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Algebra: Proving generalization of the last sylows theorem

Reference No:- TGS01929630

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