University of Wisconsin-Madison |
Math 541 |
Fall 2007
|
Let . Show that the set of multiples of is a subgroup of .
Show that if is a subgroup of then there exists a positive integer such that .
Let and be positive integers. Show that if and only if divides .
Make a list of all the subgroups of .
Make a list of all the subgroups of the Klein 4 group.
Make a list of all the subgroups of the symmetric group .