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(Solved): [3 marks] Let P be a Sylow p-subgroup of G and assume N is normal in G. Use t ...



[3 marks] Let \( P \) be a Sylow \( p \)-subgroup of \( G \) and assume \( N \) is normal in \( G \). Use the conjugacy part???????

[3 marks] Let be a Sylow -subgroup of and assume is normal in . Use the conjugacy part of Sylow's Theorem to prove that is a Sylow -subgroup of . Deduce that is a Sylow -subgroup of


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Here's a proof using Sylow's Theorem:Let P be a Sylow p-subgroup of G and let N be normal in G. By Sylow's Theorem,|P|=pk, where p is a prime and k is
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