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arXiv · 1809.04122

Dedekind's criterion for the monogenicity of a number field versus Uchida's and L\"uneburg's

Xavier Vidaux·Carlos R. Videla
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Abstract

We compare three different characterizations, due respectively to R. Dedekind, K. Uchida, and H. L\"uneburg, of when $\mathbb Z[\theta]$ is the ring of integers of $\mathbb Q(\theta)$, and apply our results to some concrete $2$-towers of number fields.

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Xavier Vidaux, Carlos R. Videla. 2018-09-11. Dedekind's criterion for the monogenicity of a number field versus Uchida's and L\"uneburg's. https://arxiv.org/abs/1809.04122

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