Elasticity of Orders with Prime Conductor
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911110711476224 |
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| author | Kettinger, Jared Moles, Grant |
| author_facet | Kettinger, Jared Moles, Grant |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17957 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elasticity of Orders with Prime Conductor Kettinger, Jared Moles, Grant Commutative Algebra 13A05 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. |
| title | Elasticity of Orders with Prime Conductor |
| topic | Commutative Algebra 13A05 |
| url | https://arxiv.org/abs/2504.17957 |