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arXiv · 2010.15744

The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields

Manjul Bhargava·Jonathan Hanke·Arul Shankar
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Abstract

We prove that, on average, the monogenicity or $n$-monogenicity of a cubic field has an altering effect on the behavior of the 2-torsion in its class group.

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Manjul Bhargava, Jonathan Hanke, Arul Shankar. 2020-10-29. The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields. https://arxiv.org/abs/2010.15744

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