Fall 1999
MT-A511 Graduate Algebra I
Homework Assignment 3

Due Friday October 8


Done individually

Homework appears here as it is assigned.
  1. D & F: # 23, p. 149
  2. D & F: # 32, p. 150
  3. D & F: # 11, p. 215
  4. D & F: # 13, p. 215
  5. Find the subgroup lattice for the group Z72. Given the two subnormal series {0} ≤ <4> ≤ Z72 and {0} ≤ <18> ≤ <6> ≤ Z72follow the proof of Schreier's theorem to find refinements of each series and exhibit the isomorphic factor groups, precisely as in the proof.

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