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Algebra
Abstract algebra

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Answered question

2022-06-13

Answer & Explanation

Ian Adams

Skilled2022-06-13Added 140 answers

Step 1

If a Sylow subgroup is normal, then it is the unique subgroup of that order, i.e. if P◃G

Step 2

let, finite group =G with Sylow p-subgroup P. P⊴G⟺P is a characteristic subgroup of G because If a Sylow subgroup is normal, then it is the unique subgroup of that order, i.e. if P◃G then there is only one subgroup of order |P| because which implies P is characteristic subgroups.

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