On the Monogenity of Cyclic Sextic Fields of Composite Conductor

Authors

  • Mushtaq Ahmad National University of Computer & Emerging Sciences, Peshawar Campus the Islamic Republic of Pakistan.
  • Abdul Hameed National University of Sciences and Technology (NUST), Islamabad. the Islamic Republic of Pakistan.
  • Nadia Khan National University of Computer & Emerging Sciences, Lahore Campus. the Islamic Republic of Pakistan.
  • Toru NAKAHARA University of Peshawar, Khyber Pakhtunkhuwa. the Islamic Republic of Pakistan/

Keywords:

Monogenity, Cyclic sextic field, Conductor, Simplest cubic field

Abstract

The aim of this paper is to determine the monogenity of the family of cyclic sextic composite fields K · k over the field Q of rational numbers, where K is a cyclic cubic field of prime conductor p and k a quadratic field with the field discriminant dk such that (p, dk) = 1. Examplesof our theorems are compared with the experiments by PARI/GP. 

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Published

2018-09-30

Issue

Vol. 50 No. 3 (2018)

Section

Articles

How to Cite

On the Monogenity of Cyclic Sextic Fields of Composite Conductor. (2018). Punjab University Journal of Mathematics, 50(3), 66-72. https://pujm.pu.edu.pk/index.php/pujm/article/view/141