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HOMEWORK MUST BE:# Due Date Homework Assignment Topic
1  Sept. 6  First Problem Set: Follow this link. Solutions  0.1 Basics 0.2 Properties of the Integers 
2  Sept. 13  0.3 # 3, (5), 6, 7, (8), (12) HW2 link 1.1 # 1abc, 2abc, 4, 6abc Solutions 0.3 #15a, 15b, 
Z/nZ, modular arithmetic Intro. to groups Inverse of an element 
3  Sept. 20  1.1 # 13, 14, 16, 19, 22, 24, 35 HW3 link 1.2 #1, (4,5), 9, (13) Solutions 1.3 # 1, 4, 5, (10), 19, (20) 
Order of an element Dihedral Groups Permutations and Symmetric Groups 
4  Sept. 27  1.4 # 2, 3, 10, (11abc) HW4 link 1.5 # 1 Solutions 1.6 # 1, 2, 3, 8, 9, 10, 17 (19) 
Matrix Groups Quaternions Homomorphisms 
Test Oct. 4  Chapters 01 Practice Hints  
5  Oct. 11 
2.1 # 3, (4), (6), 8, 10, 12 HW 5 Link Solutions 2.3 # 2, 3, 10, 11, (12), 16, (20), (21), (26) 
Subgroups Cyclic Groups 
6  Oct. 18 
2.5 # 2, 9, (12) HW 6 Link 3.2 # 2, (4), 5, 8, (11), 22 Solutions 
Lattice of Subgroups Cosets and Lagrange's Thm. 
7  Oct. 25  3.1 # 1, 3, 4, 5, 6, 7, 11, (14), 20, 22a, (32), 42 3.3 # 2 (choose 3 parts), 3 HW 7 Link 3.4 # 1 Solutions  Quotient Groups Isomorphism Theorems Simple Groups 
Test Nov. 1  Chapters 23 Practice Hints Test Solutions  
8  Nov. 8 
3.5 # 2, (3), (4), 7, 9, (17) HW 8 Link 4.1 # 1, 4 Solutions 4.2 # 3, (11) 4.3 # 2c, (5) , 8, 11b, 11c, (20) 
Alternating Group Group Actions Cayley's Theorem Class Equation 
9 
Nov. 15 
4.5 # 6, (18), 13, (22), (32) HW 9 5.1 # 1 (for n=2) , 5, 14 (for n=2) 5.4 # (10), 13 Solutions 
Sylow Theorems Direct Products (External) Direct Products (Internal) 
Break week of Nov. 22 Test Nov. 29  Chapters 45 Practice Problems Hints Test solutions  
10  Dec. 6  5.2 # 1a HW 10 Link 7.1 # 5abef, 6abce Solutions 7.3 # 6, 7, 10 
Finite Abelian Groups Rings Homomorphisms and Quotients 
FINAL EXAM Dec. 11  
