## Homework assignments for Math 28b, Spring 2003

### Problem Set 4. Due Monday, Mar. 10

Read Chapter 16 and the beginning of Chapter 17 (through Theorem 17.2).

- Review Exercise 41(a) on p 248 (from assignment 2). Use this to show that every element x in
**Z**_{p} satisfies x^{p} = x. Conclude that if x is non-zero, then x^{p-1} = 1. This is relevant to problems 31 and 32 below.
- Page 290-293:3,12,14,18,27, 31, 32
- Page 307:3,6