Cohen-Lenstra heuristics at the bad primes

坏质数的 Cohen-Lenstra 启发法

• 批准号: 2608453
• 金额: --
• 依托单位: University of Glasgow
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2608453
• 关键词: Cohen; Lenstra; heuristics; bad; primes

The goal of this project is to understand the statistical behaviour of p-Sylows of class groups of Galois number fields in cases where p divides the degree of the extension, and also the statistics of the Galois module structure of integral unit groups in Galois numberfields. The first case to look at could be, for example, 3-class groups and unit groups of S3-extensions.

这个项目的目标是了解的统计行为的p-Sylows的类组的伽罗瓦数域的情况下，p除的程度的扩展，也伽罗瓦模结构的伽罗瓦numberfields的整数单位群的统计。第一种情况可以是，例如，S3-扩张的3-类群和单位群。