GALOIS POLYNOMIALS FROM QUOTIENT GROUPS

Galois polynomials are defined as a generalization of the cyclotomic polynomials. The denition of Galois polynomials (and cyclotomic polynomials) is based on the multiplicative group of integers modulo n, i.e. Z*n. In this paper, we dene Galois polynomials which are based on the quotient group Z*n/H.

Abstract

1. Introduction

2. Galois polynomials from Z*n/(n-1)

3. Galois polynomials from Z*n/(<n-1><n/2+1>)

4. Galois polynomials from Z*n/(<n-1><n/4+1>)

5. Galois polynomials from Z*n/(<n-1><n/q-1>)

6. Cyclic Semiprimes

References

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