The structure of this blueprint

This blueprint is a nonlinear document, comprising many chapters. The chapters are not designed to be read in order. Each chapter is self-contained and has a well-defined goal, typically stated at the top of the chapter.

After this chapter, you should next read chapter First reductions of the problem, which explains how to reduce FLT to two highly nontrivial statements about the \(p\)-torsion in a certain elliptic curve (the Frey curve). One of these statements was proved in the 1970s by Mazur, and we shall not be concentrating on it until after the first phase is complete. The other is a theorem of Wiles, and this is what we will be concentrating on in the remainder of the blueprint.

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