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Reading Questions 22.3 Reading Questions

1.

When is a field extension separable?

2.

What are the possible orders for subfields of a finite field?

3.

What is the structure of the non-zero elements of a finite field?

4.

Provide a characterization of finite fields using the concept of a splitting field.

5.

Why is a theorem in this chapter titled β€œThe Freshman's Dream?”