# Math 5370 Algebraic Structures

Homework

## Spring 2018

### Reading assignment

For the week of March 6-8: On Tuesday, we will discuss Section 5.3. On Thursday is our midterm, covering all material up to and including Section 5.2.
For the week of March 20-22: On Tuesday, we will discuss Section 5.4. On Thursday, we will discuss Section 6.1.

### 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, *discussed in class Thursday, March 22.*

**5.4:** 2abc, 4 *discussed in class Tuesday, March 27.*