A User's Guide to Serre's Arithmetic
This wikibook is a companion guide to Serre's book on arithmetic. His proofs will be dissected, external references will be made, technique discussed, and computations made
In this chapter Serre studies the basic properties of finite fields. Of them, he gives uniqueness of finite fields of characteristic and order , gives the structure of the group , discusses solutions of polynomials over finite fields, and gives a necessary and sufficient condition for
to be a field extension or the product ring .