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arXiv · 2603.01310

Regulator Constants and Cohomology

Luca Caputo
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Abstract

We show how regulator constants of a finitely generated $\mathbb{Z}[G]$-module can be related to $G$-cohomology, where $G$ is a finite group. We then derive consequences of such relation for modules naturally arising in number theory, such as ring of integers and units of number fields, $K$-theory groups of ring of integers and Mordell-Weil groups of elliptic curves.

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Luca Caputo. 2026-03-01. Regulator Constants and Cohomology. https://arxiv.org/abs/2603.01310

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