Elasticity of Orders with Prime Conductor

2025/04/24 by Jared Kettinger, Kettinger, Jared, Grant Moles +1 · 2 citations
Engineering · #Structural Analysis and Optimization #Topology Optimization in Engineering #Elasticity and Wave Propagation

paper · pdf · doi:10.48550/arxiv.2504.17957

Abstract

Let R be an order in a number field whose conductor ideal P := (R:R) is prime in the ring of integers 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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• Multiplicative Relationships of Subrings and their Applications to Factorization
• A Generalized Davenport Constant of the Second Kind

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