Fall 1999
MT-A511 Graduate Algebra I
Homework Assignment 2

Due Wednesday September 8


Done in pairs

Homework appears here as it is assigned.
  1. D & F: §4.1, # 4, p. 118
  2. D & F: §4.1, # 7, p. 119
  3. D & F: §4.1, # 8, p. 119
  4. D & F: §4.2, # 6, p. 124
  5. D & F: §4.3, # 11, p. 132
  6. D & F: §4.3, # 17, p. 133
  7. D & F: §4.3, # 18, p. 133
  8. D & F: §6.1, # 7, p. 200
  9. D & F: §6.1, # 8, p. 200
  10. If G is nilpotent of class 2, show
    1. G' is a subgroup of Z(G)
    2. [xn,y] = [x,y]n = [x,yn] for all x and y in G and all positive integers n.

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