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arXiv · 2011.01451

The unit norm index and $p$-class group in certain degree $\ell$ extensions

Ariella Kirsch
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Abstract

We examine when units in a field are the norms of elements in an extension field, given certain conditions. We apply these results to the study of the $\ell$-class groups in lifts of the anti-cyclotomic $\mathbb{Z}_2$-extension of $\mathbb{Q}(i)$.

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Ariella Kirsch. 2020-11-03. The unit norm index and $p$-class group in certain degree $\ell$ extensions. https://arxiv.org/abs/2011.01451

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