Bibliographic Details
| Title: |
Elasticity of orders with prime conductor. |
| Authors: |
Kettinger, Jared1 (AUTHOR), Moles, Grant1,2 (AUTHOR) gramoles@gmail.com |
| Source: |
Journal of Number Theory. Feb2026, Vol. 279, p579-593. 15p. |
| Subjects: |
Class groups (Mathematics), Prime ideals, Mathematical analysis, Ideals (Algebra), Rings of integers, Factorization, Scientific observation |
| 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. • Elasticity of an order with prime conductor is determined. • Elasticity depends only on the class group structure. • Class group structure can be determined in certain special cases. • Examples of known elasticities and class groups are given. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
