Math 361, Spring 2016, Assignment 11

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

1. Theorem relating finite fields to splitting fields (i.e. "Any field with q elements is a splitting field for...").
2. Theorem concerning uniqueness of fields with a given order.
3. The Freshman's Dream.

Solve the following problems:

1. Section 50, problems 1, 2, 3, 4, 5, and 6.

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