Question

6. Let G be a p-group and H be a proper subgroup of G. Then (1) Show that N[H]# H. (5 pts) (2) Show that N(H) is not simple.
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Рci ge 1 Let H be a propes sub group of a p-group. let us denote normalizes oft in G by NCH], which is strictly larges Han HPa9e2 IF IGI = pkm aplm and His psylow sub aroup THI=pK. we know that H is normal in NCH) therefore His normal p-syllow group

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