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[3 marks] Let P be a Sylow p-subgroup of G and assume N is normal in G. Use t ...
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[3 marks] Let P be a Sylow p-subgroup of G and assume N is normal in G. Use the conjugacy part of Sylow's Theorem to prove that P?N is a Sylow p-subgroup of N. Deduce that PN/N is a Sylow p-subgroup of G/N