# A User's Guide to Serre's Arithmetic

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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

## Finite Fields[edit]

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 .