IJPAM: Volume 22, No. 2 (2005)
Institute of Mathematics
Bankowa 14 Str., Katowice, 40007, POLAND
Abstract.Zolotareff expression of Legendre symbol by sign of permutation of regular representation of multiplicative group of a finite field applied to the Galois group of an extension of a finite field yields the Quadratic Reciprocity Law.
Received: June 6, 2005
AMS Subject Classification: 11A15, 11T99, 12F10
Key Words and Phrases: Legendre symbol, quadratic reciprocity, permutation, Frobenius automorphism
Source: International Journal of Pure and Applied Mathematics