An algebraic proof of Fermat’s last theorem

James Joseph

Abstract


In 1995, A, Wiles announced, using cyclic groups, a
proof of Fermat's Last Theorem, which is stated as follows: If
is an odd prime and x; y; z are relatively prime positive integers,
then z 6= x +y: In this note, a proof of this theorem is oered,
using elementary Algebra. It is proved that if is an odd prime
and x; y; z are positive inyegera satisfying z = x +y; then x; y;
and z are each divisible by :


Keywords


Fermat.

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References


H. Edwards, Fermat's Last Theorem:A Genetic Introduction to

Algebraic Number Theory, Springer-Verlag, New York, (1977).

A. Wiles, Modular ellipic eurves and Fermat's Last Theorem,

Ann. Math. 141 (1995), 443-551.

A. Wiles and R. Taylor, Ring-theoretic properties of certain

Heche algebras, Ann. Math. 141 (1995), 553-573. ****** Order

C(; k)x

(mod 2)


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