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Due Friday September 26, in class (in pairs)

• Section 4.1
  • Homework: 4, 6, 7, 8, 9
  • Hand In: 4, 7, 8
• Section 4.2
  • Homework: 1, 4, 5, 6, 8
  • Hand In: 6
• Section 4.3
  • Homework: 2, 10, 11, 17, 18, 27
  • Hand In: 11, 17, 18
• Section 6.1
  • Homework: 6, 7, 8, 9, 10, Extension: 16, 22, 24, 25
  • Hand In: 7, 8
• Problem not in the text
  • If G is a nilpotent group of class 2, show
    1. G' ≤ Z(G), and
    2. [xⁿ,y] = [x,y]ⁿ = [x,yⁿ] for all x, y ∈ G and all positive integers n.
• Section 4.5
  • Homework: 19, 23, 25, 30, 32
  • Hand In: 23, 32
• Section 6.2
  • Homework: 6, 7, 11, 13, 14, 24
  • Hand In: 11, 14