homework 14 (due Apr 1)

due date

Thursday, April 1


Read Chapter 4 of our textbook up to and including Example 4.9. Complete the following exercises:

8, 11, 14, 18, 19, 36b

some hints

For 18, it is enough to prove that $A_4$ is nonabelian since if you find a pair of elements in $A_4$ that do not commute, you can just consider these as elements in any larger $A_n$, where any numbers that do not appear in any cycle are fixed.

Similarly, for 19, it is enough to prove that $D_3$ is nonabelian.
