Mathematical Sciences: Groups and Rings

数学科学：群和环

• 批准号: 9123885
• 负责人: I. Martin Isaacs
• 金额: $ 14.21万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-05-15 至 1996-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9123885&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Groups; Rings

This award is concerned with work in finite group theory. The principal investigator is interested in those groups, such as solvable groups and certain related families, which have an ample supply of normal subgroups. The primary concern is with the character theory of these groups. In particular, he will investigate the interactions between certain characters of a group, characters of particular subgroups and sets of prime numbers. He will also continue to work on questions related to the theory of M-groups. A group is an algebraic structure with a single operation. It appears in many areas of mathematics, as well as, physics and chemistry. The fundamental building blocks of finite groups are finite simple groups. One of the major results in mathematics of the past decade is the classification of the finite simple groups, the proof of which would require 10,000 to 15,000 journal pages. This research is aimed at using this classification in the study of arbitrary finite groups.

这个奖项是关于工作在有限群理论。 首席研究员对这些群体感兴趣，例如 可解群和某些相关的族，它们有足够的 正规子群的供给 主要关注的是 这些群体的性格理论。 特别是，他将 调查一个人的某些特征之间的相互作用 群、特殊子群的特征标与素数集 号码 他还将继续研究与下列方面有关的问题： M群理论 一个群是一个具有单一运算的代数结构。 它出现在数学的许多领域，以及，物理学和 化学. 有限群的基本构造块是 有限单群 数学中的一个重要成果是 过去的十年是有限简单的分类 团体，证明这将需要10，000至15，000份期刊 页面. 本研究旨在将该分类用于 对任意有限群的研究。