On rings of integers generated by their units
Number Theory
2012-04-03 v3
Abstract
We give an affirmative answer to the following question by Jarden and Narkiewicz: Is it true that every number field has a finite extension L such that the ring of integers of L is generated by its units (as a ring)? As a part of the proof, we generalize a theorem by Hinz on power-free values of polynomials in number fields.
Cite
@article{arxiv.1009.0447,
title = {On rings of integers generated by their units},
author = {Christopher Frei},
journal= {arXiv preprint arXiv:1009.0447},
year = {2012}
}
Comments
15 pages