Elasticity of Orders with Prime Conductor

Jared Kettinger; Grant Moles

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arXiv · 2504.17957

Elasticity of Orders with Prime Conductor

Jared Kettinger·Grant Moles

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Abstract

Let $R$ be an order in a number field whose conductor ideal $P := (R:\overline{R})$ is prime in the ring of integers $\overline{R}$. In this paper, we explore the factorization properties of such orders. Most notably, we give a complete characterization of the elasticity of $R$ in terms of its class group. We conclude with an application to the computation of class groups of certain orders.

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Jared Kettinger, Grant Moles. 2025-04-24. Elasticity of Orders with Prime Conductor. https://arxiv.org/abs/2504.17957

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