Fall 1999
MT-A511 Graduate Algebra I
Homework Assignment 2
Due Wednesday September 8
Done in pairs
Homework appears here as it is assigned.- D & F: §4.1, # 4, p. 118
- D & F: §4.1, # 7, p. 119
- D & F: §4.1, # 8, p. 119
- D & F: §4.2, # 6, p. 124
- D & F: §4.3, # 11, p. 132
- D & F: §4.3, # 17, p. 133
- D & F: §4.3, # 18, p. 133
- D & F: §6.1, # 7, p. 200
- D & F: §6.1, # 8, p. 200
- If G is nilpotent of class 2, show
- G' is a subgroup of Z(G)
- [xn,y] = [x,y]n = [x,yn] for all x and y in G and all positive integers n.
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