Math 361, Spring 2014, Assignment 10

Carefully define the following terms, then give one example and one non-example of each:

1. Conjugate subgroups.
2. Sylow $p$-subgroup.

Carefully state the following theorems (you need not prove them):

1. Sylow's Second Theorem.
2. Sylow's Third Theorem.

Solve the following problems:

1. Section 36, problems 1, 3, 13, and 17.

--------------------End of assignment--------------------