Homework 3, Due March 4, 5pm

1. Ferguson et al, Exercise 10.9. Please show your work.
2. Ferguson et al, Exercise 11.1.
3. What are the subgroups generated by 3, 10, and 22 in the multiplicative group of integers module p=23?
4. Ferguson et al, Exercise 11.4.
5. Ferguson et al, Exercise 12.6.
6. Ferguson et al, Exercise 12.7.
7. Ferguson et al, Exercise 12.8. Please show your work. If you use Matlab, Alpha, or something similar, please show each command that you execute and the resulting response.