Fall 2005
MATH-511 Graduate Algebra I
Homework Assignment 3
Due Wednesday October 26
Done individually
- D & F: §4.5, # 23
- D & F: §4.5, # 32
- D & F: §6.2, # 11
- D & F: §6.2, # 14
- Find the subgroup lattice for 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.
- D & F: §5.1, # 5
- D & F: §5.5, # 6
- D & F: §5.5, # 7
- D & F: §7.1, # 23
- D & F: §7.3, # 22
- D & F: §7.3, # 29
- D & F: §7.4, # 30
The contents of this site have not been approved by the Department of Mathematics and Mathematical Computer Science, the College of Arts and Sciences, or by Saint Louis University.