Unformatted text preview: 4. Let G be a ﬁnite 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)...
View
Full
Document
This note was uploaded on 01/02/2012 for the course MATH 4124 taught by Professor Staff during the Spring '08 term at Virginia Tech.
 Spring '08
 Staff
 Math, Algebra

Click to edit the document details