# Math 5370 Algebraic Structures

Homework

## Spring 2018

### Reading assignment

For the week of April 24-26: On Tuesday, we will review homework assignment 11 (which I should be returning to you) and discuss problems from Sections 8.2 and 8.3. On Thursday, we will discuss Section 8.4.
For the week of May 1-3: On Tuesday, we will review homework assignment 12 (which I should be returning to you) and discuss problems from Section 8.4. On Thursday, we will discuss Section 8.6.

### Written homework

### Discussion homework

3.1: 2, 4, 6, 12, 18, 26, 34, 36.

3.2: 2, 10, 14, 20.

3.3: 2, 6, 12, 18, 22ab.

3.4: 2, 4, 12, 16, 28.

3.5: 8, 10, 16, 20.

Yen's question: If *a* generates a group *G*, does *a*^{-1} also generate *G*?

3.6: 4, 6, 14, 20.

4.1: 2abd, 4abd, 6abd, 8abd, 12bd, 20, 22.

4.4: 2, 6, 10.

4.5: 1d, 4, 18, 20.

4.6: 2, 4, 22.

5.1: 2acf, 8, 14ab.

5.2: 2, 8, 10.

5.3: 4, 10, 14.

5.4: 2abc, 4.

6.1: 2, 8, 20.

6.2: 8, 18.

6.3: 8, 10.

8.1: 4bdf, 6ac, 14.

8.2: 6, 10, 14.

8.3: 2df, 4b.

**8.4:** 4 , 8, 12, 16, 19, 21bd, *discussed in class Tuesday, May 1.*