Hints and Comments for Section 7.3

NOTE: I highly recommend that you make a real effort to do the problems without using any hints. Only read a hint if you get stuck and remain stuck after making a significant effort.

Problem 30b hint: to find an example, consider a group you know that is nonabelian and focus on subgroups of the form <a>.

Problem 45 hint: Apply the result of problem 31 in 7.2.