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
Problem 30b hint: to find an example,
consider a group you know that is nonabelian and focus on subgroups of the form
Problem 45 hint: Apply
the result of problem 31 in 7.2.