Question

Define p a prime number, T a finite group, K as a Sylow p -subgroup of T .

Assume there exists M a proper subgroup of T where NG(K) < M , i.e. the normaliser of K in T is a subgroup of M .

Prove that M isn't normal in T .

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ur 7 bem such that bkota akat Solution G = finite group, kasylww b. subgroup of G. let Mbe a proper subgroep of G chore NGCK)

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