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  3. let g be a nonabelian group of order 253=23(11), l

Let G be a nonabelian group of order 253=23(11), let P<G be a Sylow 23-subgroup and...

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Advance Math

Let G be a nonabelian group of order 253=23(11), let P
a. What are the orders of P and Q. (Explain and include anytheorems used).

b. How many distinct conjugates of P and Q are there in G? n23?n11? (Explain, include any theorems used).

c. Prove that G is isomorphic to the semidirect product of P andQ.

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