H.W. for MAS 4301H Fall 2019 The following lists the problems that you should be able to do on your own. A few of these problems will be formally assigned to be turned in and graded. § 1.3 # 1,2,3,4,17,18, 20,21,29. § 2.3 # 12. § 3.4 # 1,2,6,7,11,8,9,10,15, 19-24 show that modulo arithmetic makes Z_n into a ring, 26, 27, 28, 31, 33. Subgroups: 34-36, 38, 46,47,48, 52,53,54 § 4.4 # 1, 2, 3a,b,g,h, 5, 6, 7, 11, 12, 14, 23, 26, 27, 31, 33, 35, 36, 37, 42. § 5.3 # 1, 2, 3, 4, 5, 6, 7, 8, 9, 17, 18, 19, 27, 29, 30*, 31 (for any group), 36. § 6.4 # 1, 2, 3, 4, 9*, 11, 12, 16**, 18, 21. § 9.3 # 2, 3, 8, 11, 12, 14, 16, 19, 26, 27, 28, 31, 32, 37, 38, 39, 40, 41, 42, 43,48, § 10.3 # 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, § 11.3 # 1, 2, 5, 8, 9, 10, 11, 13, § 11.4 # 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12. § 12.3 # § 13.3 # § 14.4 #