HMC Math 171: Abstract Algebra I (Fall, 1998)
Homework

5.6: 4, 12, 32
6.1: 4, 19, 28
6.2: 8, 24, 26
8.1: 4, 18, 21

### Assignment #10 (due Wed. 11/25):

5.4: 1, 2
5.5: 3, 6, 10, 13, 17, 20, 22, 23

### Assignment #9 (due Wed. 11/18):

5.2: 2, 4, 14, 20, 22, 24
5.3: 2, 4, 9, 12, 13, 14, 25, 26

### Assignment #8 (due Wed. 11/11):

5.1: 10, 12, 13, 21, 30, 35, 40, 42, 46, 47

### Assignment #7 (due Wed. 10/28):

3.4: 8, 11, 30
3.6: 4, 7, 10
3.7: 3, 4, 5, 6, 9

### Assignment #6 (due Fri. 10/23):

3.3: 6, 12, 14, 17, 25, 29
3.4: 4, 5, 10, 13, 14, 32
6A: Prove that, for any group G, Z(G) ('the center of G'... see text for def) is a subgroup of G, and that it is normal.
BONUS: #34 in Section 3.4 (partial credit for each part)

### Assignment #5 (due Wed. 10/14):

3.1: 5, 8, 16, 23, 36, 38, 40
3.2: 8, 13, 19, 23

### Assignment #4 (due Wed. 9/30):

2.2: 8, 12, 18, 23
2.3: 6, 7, 40, 41
2.4: 6, 20, 43, 45

### Assignment #3 (due Wed. 9/23):

1.4: 15, 17, 22, 32, 33, 46, 52, 53, 54
2.1: 5, 7, 9, 11, 20, 23, 39, 40

### Assignment #2 (due Wed. 9/16):

1.3: 2, 4, 6 (if you answer "no", explain briefly),
1.3: 19 (draw lattice diagram),
1.3: 40, 44, 45, 48

### Assignment #1 (due Wed. 9/9):

0.2: 18
1.1: 8, 10, 17, 18, 19, 24, 31
1.2: 2, 3, 10, 17, 19, 24, 27, 33 (G3 only), 34

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