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arXiv · 1009.0447

On rings of integers generated by their units

Christopher Frei
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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.

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Christopher Frei. 2012-04-02. On rings of integers generated by their units. https://doi.org/10.1112/blms%2Fbdr089

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