Math 31 Homework #10 Success and failure have much in common that is good. Both mean you're trying. Frank Tyger

	Reading Read what we will cover in class on 1/27: Chapter 7 When reading Chapter 7 pay special attention to the following concepts: coset, definition and examples, properties of cosets, Lagrange's Theorem and it's four corollaries, the application of cosets to permutation groups, stabilizer, orbit and the stabilizer-orbit theorem.

	Problems The following problems are due by the beginning of class on Wednesday 1/27. Ch 6 : 2, 11, 14, 25, 32, 33, 36, 38. Prove that an inner automorphism of G induced by a really is an automorphsim. Prove that if G is a group, then Inn(G) is a group. Hint: on 11, think about U(n)'s...