
KCI등재
학술저널
GALOIS POLYNOMIALS FROM QUOTIENT GROUPS
- Ki Suk Lee Ji eun Lee Gerold Brä ndli Tim Beyne
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 31, No. 3
- 등재여부 : KCI등재
- 2018.08
- 309 - 319 (11 pages)
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