Homework for Abstract Algebra II
Mathematics 567: spring 2016
HW1:
due Mon 1/25: S3.2: #3,4,5,7,10,13,14,21
HW2:
due Mon 2/1: S13.4: \#1,4; S13.5: \#3,4,5; S13.6: \#5,8
HW3:
due Mon 2/8: S14.1: \#4; S14.2: \#1, 4, 5, 6, 17, 18, 22
HW4:
due Mon 2/15: S14.1: \#8; S14.2: \# 8,21,29,30; S14.3: \#9; S14.5: \#10.
HW5:
due Fri 2/26: Write a 2-page paper about either
(A) Kummer extensions (see pages 625-626)
(B) Hilbert's Theorem 90 (see problems 14.2: #22, 23, 26).
(C) Insolvability of the Quintic (see pages 627-629)
HW6:
due Fri 3/4: 10.1: \#5,8,9,20,23(ab); 10.2: #4,5,8; 11.1: #7,8; 11.2: \#8,11.
HW7:
due Mon 3/21: 10.3: \#7,9,15; 11.3: #2(bd),3, Read 10.4. Read 10.4 again.
HW8:
due Mon 3/28: 10.4: \#2,4,5,8(bcd),12, 17,19,20,27.
HW9:
due Mon 4/11: 12.1: \#2,4,5,14,20; 12.2: \#3,4,14,15,20; 12.3: \#2,5,22,23,24,27,36.
Sample Quiz
HW10:
due Wed 4/27: 10.5: #3, 7a, 9, 14a, 20, 26; 11.5: #3, 13.