Math 31 Homework #12 It requires a very unusual mind to make an analysis of the obvious. Alfred North Whitehead

	Quiz Remember that we have a quiz on Monday 2/1.

	Reading Read what we will cover in class on 2/1: Chapter 8 When reading Chapter 8 pay special attention to the following concepts: external direct product, Example 1 and Example 2, Theorem 8.1: the order of an element in an external direct product, Example 4 and Example 5, Theorem 8.2 and it's Corollary: criterion for external direct products to be cyclic, Theorem 8.3: the characterization of U(n) as an external direct product.

	Problems The following problems are due by the beginning of class on Monday 2/1. Ch 7 : 14, 15, 16, 17, 20, 25, 26, 27, 31. Prove that if G is a group of permutations on a set S, then the stabilizer of i \in S [that is, stabG(i)] is a subgroup of G.