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Let S be a Sylow p-subgroup of a finite group G. Then prove that N?(N(S))...

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Let S be a Sylow p-subgroup of a finite group G. Then prove that N?(N(S)) = N(S), where N(S) is the normalizer of S in G.

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Let S be a Sylow p-subgroup of a finite group G. Then prove that N?(N(S)) = N(S), where N(S) is the normalizer of S in G.

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