Fall 2005
MATH-511 Graduate Algebra I
Homework Assignment 2
Due Friday September 30
Done in pairs
- D & F: §4.1, # 4
- D & F: §4.1, # 7
- D & F: §4.1, # 8
- D & F: §4.2, # 6
- D & F: §4.3, # 11
- D & F: §4.3, # 17
- D & F: §4.3, # 18
- D & F: §6.1, # 7
- D & F: §6.1, # 8
- If G is nilpotent of class 2, show
- G' ≤ 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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