Generic extensions and generic polynomials for multiplicative groups

JOURNAL OF ALGEBRA

卷:423

Article

Morales, Jorge¹  Sanchez, Anthony² 

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Arizona State Univ, Dept Math, Tempe, AZ 85281 USA

关键词: Constructive Galois theory;    Frobenius modules;    Generic polynomials;    Multiplicative group;    Field extensions;   

DOI  :  10.1016/j.jalgebra.2014.06.034

来源: Elsevier

【 摘 要 】

Let A be a finite-dimensional algebra over a finite field F-q and let G = A(x) be the multiplicative group of A. In this paper, we construct explicitly a generic Galois G-extension S/R, where R is a localized polynomial ring over F-q, and an explicit generic polynomial for G in dimF(q) (A) parameters. (C) 2014 Published by Elsevier Inc.

【 授权许可】

Free