An algebraic proof of Fermat's last theorem
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 integers satisfying z = x +y; then x; y;
and z are each divisible by :
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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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