# MATH 851 Assignments

1. Review problems not to be turned in.
• S. 0.1: #'s 1 - 3.
• S. 0.2: #'s 1, 5.
• S. 0.3: #'s 10 - 14.

2. Due: Monday, 29 August 2011.
• S. 1.1: #'s 1, 2, 6, 8, 21, 25, 28, 29, 30.
• S. 1.2: #'s 1, 3, 9, 15, 17.
• S. 1.3: #'s 1, 4, 10, 11, 14, 15.
• S. 1.4: #'s 2, 7, 9.
• S. 1.5: #'s 1-3.
• S. 1.6: #'s 1, 2, 3, 13, 14, 20, 26.

3. Due: Monday, 5 September 2011.
• S. 1.7: #'s 4, 11, 16, 18, 19.
• S. 2.1: #'s 6, 8, 9, 10, 11, 15, 16.
• S. 2.2: #'s 5, 6, 12, 13.
• S. 2.3: #'s 9, 16, 19, 21, 23.

4. Due: Monday, 12 September 2011.
• S. 2.4: #'s 3, 9, 13, 16.
• S. 2.5: #'s 2a, 2c, 6a, 6c, 9.
• S. 3.1: #'s 14, 23, 35, 42.
• S. 3.2: #'s 6, 10, 20, 21.

5. Due: Monday, 19 September 2011.
• S. 3.3: #'s 3, 8, 9.
• S. 3.4: #'s 1, 6, 7.
• S. 3.5: #'s 3, 5, 10.

6. Due: Monday, 26 September 2011.
• S. 4.1: #'s 2, 3, 9.
• S. 4.2: #'s 3, 9, 10.
• S. 4.3: #'s 13, 19, 20, 21, 22, 27, 33.

7. Due: Monday, 10 October 2011.
• S. 4.4: #'s 6, 7, 8.
• S. 4.5: #'s 20, 29.
• S. 4.6: #'s 1, 2.
• S. 5.1: #'s 1, 7, 17.

8. Due: Monday, 24 October 2011.
• S. 5.2: #'s 5, 10, 14.
• S. 5.4: #'s 4, 7, 11.
• S. 5.5: #'s 2, 6, 8.

9. Due: Wednesday, 2 November 2011.
• S. 6.1: #'s 6, 16, 17, 20.
• S. 7.1: #'s 13, 23, 26.
• S. 7.2: #'s 7, 13.

10. Due: Wednesday, 9 November 2011.
• S. 7.3: #'s 26, 34.
• S. 7.4: #'s 6, 8, 10, 18.
• S. 7.5: #'s 3,5.

11. Due: Wednesday, 16 November 2011.
• S. 7.6: #'s 8-11.
• 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. 8.1: #'s 4, 8.
• S. 8.2: #'s 3, 5, 6.

12. Due: Wednesday, 30 November 2011.
• S. 8.3: #'s 3, 8.
• S. 9.1: #'s 1, 5, 7.
• S. 9.2: #'s 1, 2, 3, 6.
• S. 9.3: #'s 3.
• S. 9.4: #'s 1a, 2b, 5.

13. Suggested Problems.
• S. 9.5: #'s .
• S. 10.1 : #8, 19.
• S. 10.2 : # 6, 7.
• S. 10.3 : # 2, 20, 27.
• S. 12.1 : # 2, 3, 4.