MATH 852 Assignments

1. Due: Thursday, 7 September 2006.
   • S. 7.6 : # 11.
     
   • Consider the direct limit of Z/p^nZ and show that all elements of the direct limit have order a power of p. What are the orders of the elements of the inverse limit of these groups?
   • S. 10.1 : #8.
     
   
   
2. Due: Thursday, 14 September 2006.
   • S. 10.1 : # 19.
     
   • S. 10.2 : # 6, 7.
     
   • S. 10.3 : # 2, 20, 27.
     
   
   
3. Due: Thursday, 21 September 2006.
   • S. 10.4 : # 5, 11, 16.
     
   
   
4. Due: Thursday, 5 October 2006.
   • S. 12.1 : # 3.
     
   
   
5. Due: Thursday, 12 October 2006.
   • S. 12.1 : # 2, 4.
     
   • S. 13.1 : # 1, 5, 6.
     
   
   
6. Due: Thursday, 19 October 2006.
   • S. 13.2 : # 1, 3, 7, 16, 20.
     
   • S. 13.4 : # 2, 5, 6.
     
   
   
7. Due: Tuesday, 31 October 2006.
   • S. 13.5 : # 5, 7.
     
   • S. 13.6 : # 4, 8, 10.
     
   
   
8. Due: Tuesday, 28 Nobember 2006.
   • S. 14.1 : # 5, 7.
     
   • S. 14.2 : # 3, 13 .
     
   
   
9. Fnal Exam. Due: 8am Wednesday, 13 December 2006.
   • 10.4.7, 13.4.3, 13.5.11, 14.3.8, 14.6.7, 14.7.2.