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).

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