5.6. ADDITIONAL EXERCISES FOR CHAPTER 52635.6.17.LetGbe a finite group,pa prime, andPap–Sylow subgroup.SupposeHis anormalsubgroup ofGof orderpkfor somek. Show thatHP.5.6.18.Show that a group of order2n5m,m; n1, has a normal5–Sylowsubgroup. Can you generalize this statement?
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