Mathematical Sciences: Structure of the Ideal Class Group

数学科学：理想班级群的结构

• 批准号: 9210662
• 负责人: Ruth Berger
• 金额: $ 1.69万
• 依托单位: University of Memphis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-15 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9210662&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Structure; Ideal; Class

This research planning grant will enable the researcher to continue her investigation into the structure of the ideal class group of algebraic number fields. In particular, she will study how the class group of a compositum relates to those of the subfields. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.

这项研究计划补助金将使研究人员能够 继续研究理想阶级的结构 代数数域群。特别是，她将研究如何 复合词的类群与子字段的类群相关。 这是数论领域的研究。 Number 理论开始于整数和问题，如 一个整数被另一个整数整除。 它是其中的 最古老的数学领域，它最初是追求 纯粹的美学原因。 然而，在过去的半个世纪里， 它已经成为开发新算法的重要工具， 计算机科学和新的电子纠错码。