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Unformatted text preview: 4. Let G be a nite group and let p be the smallest prime dividing  G  (assume that G 6 = 1). If H G and  H  = p , prove that H Z ( G ) (consider  K ( x )  for 1 6 = x H ; it should be clear that  K ( x )  p1 ) . (3 points) (4 problems, 12 points altogether)...
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 Spring '08
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 Math, Algebra

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