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Due Wednesday October 22, in class (individually)

• Problem not in the text
  • Find the subgroup lattice of the group ℤ₇₂.
  • Given the two subnormal series {0} ≤ ⟨4⟩ ≤ ℤ₇₂ and {0} ≤ ⟨18⟩ ≤ ⟨6⟩ ≤ ℤ₇₂, follow the proof of Schreier's Theorem to find refinements of each series and exhibit the isomorphic factor groups, precisely as in the proof (including the trivial factors).
• Section 5.1
  • Homework: 1, 5, 12, 15, 17
  • Hand In: 5
• Section 5.5
  • Homework: 1, 2, 6, 7, 8, 9, 11
  • Hand In: 6, 7
• Section 7.1
  • Homework: 5, 7, 13, 23, 25
  • Hand In: 9
• Section 7.3
  • Homework: 1, 8, 12, 22, 24, 29
  • Hand In: 22, 29
• Section 7.4
  • Homework: 7, 13, 16, 30, 31, 32
  • Hand In: 30, 32