Factorización de ideales y último teorema de Fermat

Abstract

The objective in the present work is to explain the proof of the famous Fermat’s Last Theorem in the particular case of the regular primes when gcd(xyz, p) = 1. Before of this, we need to know some important theorems about factorization of ideals, ideal class group or cyclotomic fields, because this results will be fundamental in the proof of the theorem. Finally, we will give a characterization of the regular primes based in Bernoulli’s numbers.