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

Homework

### Assignment #11 (due Fri. 12/11):

**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

### 2nd Midterm: Wednesday, Nov. 4

### 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

### 1st Midterm: Friday, Oct. 2

### 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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